Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575p |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
50626953125 = 59 · 72 · 232 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1533,-19907] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:221:8] |
Generators of the group modulo torsion |
j |
48234496/6125 |
j-invariant |
L |
9.5624846711845 |
L(r)(E,1)/r! |
Ω |
0.76931269833878 |
Real period |
R |
3.1074765487541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515a1 92575b1 |
Quadratic twists by: 5 -23 |