Atkin-Lehner |
5- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475x |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
8364453125 = 58 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-708,-6006] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:-179:8] [-17:37:1] |
Generators of the group modulo torsion |
j |
100618240/21413 |
j-invariant |
L |
3.9788536472898 |
L(r)(E,1)/r! |
Ω |
0.93936341397833 |
Real period |
R |
0.70594858677198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475g1 |
Quadratic twists by: 5 |