Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192l |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-1776265712 = -1 · 24 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3 2 -4 2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169,-2197] |
[a1,a2,a3,a4,a6] |
j |
-6912/23 |
j-invariant |
L |
5.4830027124098 |
L(r)(E,1)/r! |
Ω |
0.60922252446385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15548d1 368f1 |
Quadratic twists by: -4 13 |