The Samsung Conquer 4G is also called as Samsung SPH-D600. It actually use same battery as Samsung Exhibit 4G or Samsung Gravity Smart. The original battery code is EB484659VA. Here are battery details:

Type: Li-Ion
Voltage: 3.7V
Capacity: 1500mAh
Replace Code: EB484659VA,EB484659VABSTD
Compatible with Samsung Conquer 4G, SPH-D600, Gravity Smart, Exhibit 4G, SGH-T759, SGH-T589