Negation map on a one-dimensional complex torus (source code)

= Negation map on a one-dimensional complex torus
{title2=$z+\Lambda\mapsto-z+\Lambda$}

Negation is a biholomorphic involution of $E=\mathbb C/\Lambda$. Its fixed points satisfy $2z\in\Lambda$, so they are indexed by the four elements of $\tfrac12\Lambda/\Lambda$.