Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696o |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
382252089344 = 232 · 89 |
Discriminant |
Eigenvalues |
2- 2 -2 0 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2849,-49471] |
[a1,a2,a3,a4,a6] |
Generators |
[-22509:65636:729] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
4.903473043681 |
L(r)(E,1)/r! |
Ω |
0.65999194336468 |
Real period |
R |
7.4295953048803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5696h1 1424e1 51264y1 |
Quadratic twists by: -4 8 -3 |