Atkin-Lehner |
5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725bc |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-22534477365125 = -1 · 53 · 118 · 292 |
Discriminant |
Eigenvalues |
-1 1 5- 1 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2357,224302] |
[a1,a2,a3,a4,a6] |
j |
54043/841 |
j-invariant |
L |
2.0131484019195 |
L(r)(E,1)/r! |
Ω |
0.50328712252691 |
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 |
87725bb1 87725z1 |
Quadratic twists by: 5 -11 |