Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400s |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
236957413356339200 = 225 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336140,71261680] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
0.6168360240476 |
L(r)(E,1)/r! |
Ω |
0.30841802068035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gv1 2450d1 78400ec1 78400a1 |
Quadratic twists by: -4 8 5 -7 |