Atkin-Lehner |
5+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725b |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8515453515625 = 58 · 72 · 232 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12292,508491] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:913:1] [142:4279:8] |
Generators of the group modulo torsion |
j |
13145926950801/544989025 |
j-invariant |
L |
12.248278634305 |
L(r)(E,1)/r! |
Ω |
0.72775319615091 |
Real period |
R |
8.4151321482064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000043 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23345f2 |
Quadratic twists by: 5 |