nl2 sh trip 4's

After villian checks back turn I think he has a mediocre hand that he wants to showdown so I think the river is a bet for value.

I have no idea how to correctly play this hand on the flop.

Thankyou

iPoker - $0.02 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: $2.27 (VPIP: 31.82, PFR: 31.82, 3Bet Preflop: 33.33, Hands: 22)
SB: $1.24 (VPIP: 64.71, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 18)
Hero (BB): $2.00
UTG: $0.92 (VPIP: 33.33, PFR: 5.56, 3Bet Preflop: 0.00, Hands: 18)
MP: $3.33 (VPIP: 33.33, PFR: 28.21, 3Bet Preflop: 0.00, Hands: 39)
CO: $2.00 (VPIP: 19.15, PFR: 17.02, 3Bet Preflop: 0.00, Hands: 50)

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: (pot: $0.03) Hero has J♠ 4♣

UTG calls $0.02, MP calls $0.02, fold, fold, SB calls $0.01, Hero checks

Flop: ($0.08, 4 players) 2♣ 4♦ 4♥
SB checks, Hero checks, UTG checks, MP bets $0.08, fold, Hero raises to $0.22, fold, MP raises to $0.51, Hero calls $0.29

Turn: ($1.10, 2 players) 5♥
Hero checks, MP checks

River: ($1.10, 2 players) 2♠
Hero bets $0.77, MP calls $0.77