Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600cf |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
148897792000000 = 227 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 0 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18700,-790000] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
3.313396937975 |
L(r)(E,1)/r! |
Ω |
0.41417463268882 |
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 |
113600bn1 28400p1 4544n1 |
Quadratic twists by: -4 8 5 |