There is no confirmation on him calling himself the joker
"The source of Kelly's information wasn't immediately clear also, The Joker had green hair.
However, the commissioner is reportedly a close friend of Dan Oates, the chief of police in Aurora, Colo., where the massacre occurred. Oates, formerly a longtime member of the New York Police Department, didn't confirm or deny The Joker account, but did say he had spoken with Kelly."