I think it's 17A, but I'm not sure. A quick google said the cards draw 188w max. Even if they draw 225w (75 from each connector and 75 from the mobo), you'd need 19A max.
A 500w should be ok in a dual core system, but I'd want a 600w min in a quad core.
Edit: From XFX:
XFX Radeon HD 5870 System Requirements - PCI Express or PCI Express 2.0 compliant motherboard with one X16 graphics slot
- 500 Watt or greater power supply with two 75W 6-pin PCI Express® power connectors recommended (600 Watt and four 6-pin connectors for ATI CrossFireX™ technology in dual mode)
- Certified power supplies are recommended.
- Minimum 1GB of system memory