Atkin-Lehner |
5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725bb |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-352101208830078125 = -1 · 59 · 118 · 292 |
Discriminant |
Eigenvalues |
1 -1 5- -1 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,58925,28037750] |
[a1,a2,a3,a4,a6] |
j |
54043/841 |
j-invariant |
L |
0.90030743293654 |
L(r)(E,1)/r! |
Ω |
0.22507684363409 |
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 |
87725bc1 87725ba1 |
Quadratic twists by: 5 -11 |