Atkin-Lehner |
2- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024q |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
2471977017147392 = 238 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33836,-129584] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1456:1] |
Generators of the group modulo torsion |
j |
16342588257633/9429843968 |
j-invariant |
L |
3.601934694724 |
L(r)(E,1)/r! |
Ω |
0.38397530527725 |
Real period |
R |
4.6903207644085 |
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 |
25024h1 6256i1 |
Quadratic twists by: -4 8 |