Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880r |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2817291684966400 = -1 · 212 · 52 · 317 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15696,-2658304] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5526:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
8.1806715076634 |
L(r)(E,1)/r! |
Ω |
0.18985532059991 |
Real period |
R |
5.3861221013531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4805c1 2480j1 |
Quadratic twists by: -4 -31 |