Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117740i |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1091328 |
Modular degree for the optimal curve |
Δ |
284340061127032400 = 24 · 52 · 72 · 299 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-357705,78127000] |
[a1,a2,a3,a4,a6] |
j |
21807104/1225 |
j-invariant |
L |
1.8227674184977 |
L(r)(E,1)/r! |
Ω |
0.30379454764408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117740h1 |
Quadratic twists by: 29 |