Atkin-Lehner |
5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525m |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1168128 |
Modular degree for the optimal curve |
Δ |
32329141901012125 = 53 · 139 · 293 |
Discriminant |
Eigenvalues |
2 -1 5- 3 4 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-84218,3723813] |
[a1,a2,a3,a4,a6] |
j |
49836032/24389 |
j-invariant |
L |
3.9402068233445 |
L(r)(E,1)/r! |
Ω |
0.32835056776899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122525n1 122525o1 |
Quadratic twists by: 5 13 |