should i have done this?

[FergyFan315]

i had 6-3 suited and was in the big blind and checked. the flop was Js-10s-5s. i bet and had one caller. the turn was a 8s. i bet. my opponent raised me, i called. the river was a 3c. my opponent went all-in. i thought about it, i thought" does he have a better flush then me, i mean i only have a Jack high flush with a pretty bad second card from my hand." so i thought he had a better flush and i said" i am gonna lay this monster down"(i do this everytime i lay down a big hand cause i love Rounders) so i showed him my flush. he turned over jacks and 10's. i know i lost the pot but was this the right move, should i have thought he had the better flush.