Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486v |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
874557575424 = 28 · 39 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878711,-316822449] |
[a1,a2,a3,a4,a6] |
j |
102928089027210685993/1199667456 |
j-invariant |
L |
1.8711961872014 |
L(r)(E,1)/r! |
Ω |
0.15593301560012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6162a1 |
Quadratic twists by: -3 |