Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5696p |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
5832704 = 216 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 4 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,511] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:32:1] |
Generators of the group modulo torsion |
j |
3650692/89 |
j-invariant |
L |
2.6059599889318 |
L(r)(E,1)/r! |
Ω |
2.3926604203251 |
Real period |
R |
1.0891474472494 |
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 |
5696f1 1424a1 51264z1 |
Quadratic twists by: -4 8 -3 |