Central point of an L-function (reviewed)

The central point of an L-function is the point on the real axis of the critical line. Equivalently, it is the fixed point of the functional equation.

In the analytic normalization, the central point is $s=1/2$, in the arithmetic normalization, it is $s=\frac{w+1}{2}$, where $w$ is the weight of the L-function.