Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248b |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
463574016 = 210 · 39 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-9720] |
[a1,a2,a3,a4,a6] |
j |
3538944/23 |
j-invariant |
L |
3.5237181481155 |
L(r)(E,1)/r! |
Ω |
0.88092953702887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13248y1 828b1 13248a1 |
Quadratic twists by: -4 8 -3 |