楕円曲線 C : y^2 = 4x^3-595x-2793
( e1 , e2 , e3 )
= ( 7/2+4√7 , -7 , 7/2-4√7 )
k(τ)
= sinθ
= √( 8-3√7 )/4
k’(τ)
= cosθ
= √( 8+3√7 )/4
τ
= √-7
q
= exp( -√7π)
a
= ( 2sin2θ)^2
= 1/2^4
⇒
J(τ= √-7 )
= 2^4( 2^4-a )^3/a^2
= 16581375
= 255^3
J( ( 1+√-7 )/2 )
= 2^8( 1-a )^3/a
= 3375
= 15^3
q.e.d.