Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ev |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
21874166433054720 = 230 · 311 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347628,-78568112] |
[a1,a2,a3,a4,a6] |
j |
24310870577209/114462720 |
j-invariant |
L |
3.1467620596212 |
L(r)(E,1)/r! |
Ω |
0.19667262830969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bd1 16560cb1 22080cx1 |
Quadratic twists by: -4 8 -3 |