Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5684b |
Isogeny class |
Conductor |
5684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
32307856 = 24 · 74 · 292 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -1 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,421] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:29:1] |
Generators of the group modulo torsion |
j |
4302592/841 |
j-invariant |
L |
3.8517835290573 |
L(r)(E,1)/r! |
Ω |
1.971940556376 |
Real period |
R |
0.97664798175663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22736r1 90944c1 51156g1 5684j1 |
Quadratic twists by: -4 8 -3 -7 |