Regulator of an elliptic curve
= Regulator of an elliptic curve
{title2=$\operatorname{Reg}(E/K)$}
{wiki=Regulator_(mathematics)#Regulator_of_an_elliptic_curve}
The regulator is the determinant of the canonical-height pairing on a basis of the free part of the Mordell-Weil group. A unimodular basis change leaves it invariant.