Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808g |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
43641285608448 = 210 · 37 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-969976,-367373312] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
2.434048704759 |
L(r)(E,1)/r! |
Ω |
0.15212804404744 |
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 |
2904o1 23232dx1 17424z1 528c1 |
Quadratic twists by: -4 8 -3 -11 |