  We show that the hidden conformal symmetry of the Schwarzschild black hole is
realized from the AdS$_2$ sector of the AdS$_2\times S^2$, but not from the
Rindler spacetime which is the genuine near-horizon geometry of the
Schwarzschild black hole. This implies that purely imaginary quasinormal
frequencies obtained using the hidden conformal symmetry is not suitable for
describing the largely damped modes around the Schwarzschild black hole.
