Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248bo |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
463574016 = 210 · 39 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7464,-248200] |
[a1,a2,a3,a4,a6] |
j |
61604313088/621 |
j-invariant |
L |
4.109101761552 |
L(r)(E,1)/r! |
Ω |
0.513637720194 |
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 |
13248h1 3312g1 4416q1 |
Quadratic twists by: -4 8 -3 |