How much to bet??

Edit: Reads: Caller is a 19/14 Tag, Reraiser is a wannabe Lag type 26/16 I have watched him stack off with 73 on a JT3 board. This might be the first time I have seen him reraise and I feel that he has a big hand. I think that the caller will fold to any 4 bet.

PokerStars No-Limit Hold'em, $1.00 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Hero ($252.10)
CO ($106.35)
Button ($207.25)
SB ($80.50)
BB ($70)
UTG ($110.50)

Preflop: Hero is MP with A, A.
1 fold, Hero raises to $4, CO calls $4, Button raises to $16, 2 folds, Hero raises ??