Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576d |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
7998042498048 = 210 · 314 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6843,-170170] |
[a1,a2,a3,a4,a6] |
j |
47471816164/10714113 |
j-invariant |
L |
4.2672093640542 |
L(r)(E,1)/r! |
Ω |
0.53340125415775 |
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 |
39192h1 |
Quadratic twists by: -3 |