Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800c |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
-2.3399918503231E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4983967,5983782437] |
[a1,a2,a3,a4,a6] |
Generators |
[3102893504256397:357330751009978506:241687946989] |
Generators of the group modulo torsion |
j |
3422859777193327616/5849979625807819 |
j-invariant |
L |
12.696637000589 |
L(r)(E,1)/r! |
Ω |
0.082214139014141 |
Real period |
R |
19.304217548282 |
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 |
4712c1 |
Quadratic twists by: 5 |