Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bo |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
120640 = 26 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 0 13- 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8845,-323147] |
[a1,a2,a3,a4,a6] |
j |
1195876549033984/1885 |
j-invariant |
L |
1.969159315125 |
L(r)(E,1)/r! |
Ω |
0.49228998847494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640da1 1885a1 |
Quadratic twists by: -4 8 |