Atkin-Lehner |
5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35075c |
Isogeny class |
Conductor |
35075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49200 |
Modular degree for the optimal curve |
Δ |
835771484375 = 510 · 23 · 612 |
Discriminant |
Eigenvalues |
1 0 5+ -1 3 -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20117,-1092334] |
[a1,a2,a3,a4,a6] |
Generators |
[-9970:5556:125] |
Generators of the group modulo torsion |
j |
92198840625/85583 |
j-invariant |
L |
5.318208194965 |
L(r)(E,1)/r! |
Ω |
0.40089620105608 |
Real period |
R |
6.6328992155015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35075e1 |
Quadratic twists by: 5 |