Atkin-Lehner |
2- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58604i |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
634312583632 = 24 · 78 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10780,429093] |
[a1,a2,a3,a4,a6] |
j |
73598976000/336973 |
j-invariant |
L |
0.91677351723918 |
L(r)(E,1)/r! |
Ω |
0.91677352108148 |
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 |
8372a1 |
Quadratic twists by: -7 |