How can a JVM can be instrumented to analyze code coverage of an end-to-end test suite?

I've leveraged Cobertura, Clover, PIT for static code coverage and mutation analysis. While this provides good coverage reports for unit tests, I'm looking for a solution that will capture code execution paths at runtime. I'd be executing an external E2E automation suite against the running Java application.

Are there existing tools that I could leverage that would monitor the running JVM and report on code coverage as the E2E test suite is executed against the running application? Or, can someone give recommendations on how best to roll my own solution?