Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200b |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
41250000 = 24 · 3 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1383,20262] |
[a1,a2,a3,a4,a6] |
Generators |
[86:728:1] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
4.2841367467623 |
L(r)(E,1)/r! |
Ω |
1.9654568198703 |
Real period |
R |
4.3594310528225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6600bc1 52800gv1 39600x1 2640k1 |
Quadratic twists by: -4 8 -3 5 |