My coach said I should've bet the flop as well, anyway, here's how it proceeds:
Two limpers in EP, Hero is MP with A
J
and raises to $15. next player to act calls $15, everyone else folds:
Pot: $37
Flop: K
T
4
Hero: checks
Caller: checks
Turn: 10
Hero: checks
Caller bets $15
Hero asks Caller "if I show, will you fold?" and this catches Caller off guard, and elicits a genuine response/smile from him. Based on Callers mannerisms he seems comfortable with his hand, Hero folds. Caller turns over K
J