According to Wikipedia, the 5570 needs 39 watts of power at the max, 3 1/4 amps on the +12V rail. Thus, if your PSU has at least 15 amps, you should be fine. You might be able to go with the 5670 at the upper end.
Thanks but I don't really understand that. Copying from the power supply label it says:AC Input
100-127V ~ 50-60Hz 6.0A
200-240V ~ 50-60Hz 3.0ADC Output
+3.3V --- 16.7A
+12.0V --- 18.0A
-12.0V --- 0.3A
+5.08Vsb --- 2.0A
So does this mean I'm ok?