Django 2.2 - Testcase - client.logout() method does not log out user

I am writing tests for my simple Django web application, checking if user can login and logout correctly. Views:user_login and user_logout

def user_login(request):
    if request.method == 'POST':
        email = request.POST.get('email address')
        password = request.POST.get('password')
        user = authenticate(username=email, password=password)
        if user:
            if user.is_active:
                login(request, user)
                return HttpResponseRedirect(reverse('main_page:index'))
        else:
            print("\nWARNING: invalid login detected\n\nemail: {}\npassword: {}\n".format(email, password))
            messages.error(request, 'Ivalid email or password. Try again.')
            return HttpResponseRedirect(reverse('users:login'))
    else:
        return render(request, 'users/login.html', {})


@login_required
def user_logout(request):
    messages.add_message(request, messages.INFO, 'See you Space Cowboy!')
    logout(request)
    return HttpResponseRedirect(reverse('main_page:index'))

And the tests themself:

class LoginLogoutTests(TestCase):

def setUp(self):
    User = get_user_model()
    self.user = User.objects.create_user(email='test_user@email.com', password='S6y4Mb9Aqfu79YcF')
    print("\nsetup")

def tearDown(self):
    self.user
    print("teardown\n")

def test_login(self):
    # test if email is equal
    self.assertEqual(self.user.email, 'test_user@email.com')
    # test authentication
    self.assertTrue(self.user.is_authenticated)
    self.assertFalse(self.user.is_anonymous)
    # test if login request index.html
    self.assertTrue(self.client.get('main_page.index.html'))
    # test login with valid credentials
    self.assertTrue(self.client.login(email='test_user@email.com', password='S6y4Mb9Aqfu79YcF'))
    # test login with invalid credentials
    self.assertFalse(self.client.login(email='test_user@email.com', password='password'))
    print("test login")

def test_logout(self):
    self.client.logout()
    self.assertTrue(self.user.is_authenticated)
    self.assertFalse(self.user.is_anonymous)
    print("test logout\n")

Tests return this output:

(venv) [user@manjaro django-project]$ ./manage.py test
Creating test database for alias 'default'...
System check identified no issues (0 silenced).

setup
test login
teardown

setup
test logout
teardown

..
----------------------------------------------------------------------
Ran 4 tests in 0.515s

OK
Destroying test database for alias 'default'...

Last test shouldn't be passed, but paradoxically it is. What goes here wrong?

EDIT: I rebuilt user model that it uses email as login. I used this tutorial: https://testdriven.io/blog/django-custom-user-model/