Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690i |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4454400 |
Modular degree for the optimal curve |
Δ |
2.5641536839353E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10010160,-11941727450] |
[a1,a2,a3,a4,a6] |
Generators |
[-8108745:48469685:4913] |
Generators of the group modulo torsion |
j |
304183240801/7031250 |
j-invariant |
L |
5.3752774598382 |
L(r)(E,1)/r! |
Ω |
0.084996420765311 |
Real period |
R |
5.2701017799334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230v1 75690bb1 |
Quadratic twists by: -3 29 |