Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640y |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
100252800000 = 210 · 32 · 55 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37421,2773779] |
[a1,a2,a3,a4,a6] |
j |
5659545137022976/97903125 |
j-invariant |
L |
1.9528032612564 |
L(r)(E,1)/r! |
Ω |
0.97640163128695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640by1 7080c1 |
Quadratic twists by: -4 8 |