Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109820f |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
201459874896080 = 24 · 5 · 178 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141032,-20374211] |
[a1,a2,a3,a4,a6] |
Generators |
[13691781534685492603220:-2221210283371822662334941:520129692990456128] |
Generators of the group modulo torsion |
j |
803273048064/521645 |
j-invariant |
L |
8.5116876278049 |
L(r)(E,1)/r! |
Ω |
0.2463695710015 |
Real period |
R |
34.548453308564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6460a1 |
Quadratic twists by: 17 |