Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cy |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
6.0429745589976E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -5 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2129458,-178797881] |
[a1,a2,a3,a4,a6] |
Generators |
[15514:437321:8] |
Generators of the group modulo torsion |
j |
67746795520/38336139 |
j-invariant |
L |
14.369473410575 |
L(r)(E,1)/r! |
Ω |
0.13477517991967 |
Real period |
R |
1.1846455391032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475n1 62475bk1 |
Quadratic twists by: 5 -7 |