Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bk |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8749056 |
Modular degree for the optimal curve |
Δ |
7301902175579088 = 24 · 314 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128274474,-559188816667] |
[a1,a2,a3,a4,a6] |
Generators |
[2696831695561638814257700841174:161351006207202674225402935429105:182220199999075106292259009] |
Generators of the group modulo torsion |
j |
20012296492949906452559872/626020419717 |
j-invariant |
L |
8.5298404553431 |
L(r)(E,1)/r! |
Ω |
0.044860539695047 |
Real period |
R |
47.535319872944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112b1 |
Quadratic twists by: -3 |