Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640ci |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
47125000000 = 26 · 59 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 4 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13371,590579] |
[a1,a2,a3,a4,a6] |
j |
4131120704098816/736328125 |
j-invariant |
L |
1.0980751348114 |
L(r)(E,1)/r! |
Ω |
1.0980745785922 |
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 |
120640cj1 60320u1 |
Quadratic twists by: -4 8 |