Great upgrade!
I would say you need a bigger filter, even without knowing what your first filter was. At 50 gallons, you'll want to look into something in the Rena XP3 range (or equivalent). It'll keep your current tank nice and clean, and it'll do a fine job in any future upgrades.
You may also need a new/bigger heater. That depends on your room temperature though. If your room temp is usually around 76-78, then that will be just fine. Make sure you're monitoring the water and basking temps for the first little bit to make sure they're in good ranges.
I agree with Francine, you may in the not too distant future need a larger basking area, but as long as they can both comfortable get up there, and be able to completely dry off (top and bottom), then you'll be OK for a while.