It is shown that the surface gravity and temperature of a stationary b
lack hole are invariant under conformal transformations of the metric
that are the identity at infinity. More precisely, we find a conformal
invariant definition of the surface gravity of a conformal Killing ho
rizon that agrees with the usual definition(s) for a true Killing hori
zon and is proportional to the temperature as defined by Hawking radia
tion. This result is reconciled with the intimate relation between the
trace anomaly and the Hawking effect, despite the non-invariance of t
he trace anomaly under conformal transformations.