Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144k |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
193961740752 = 24 · 38 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6330,-192683] |
[a1,a2,a3,a4,a6] |
j |
2404846336000/16629093 |
j-invariant |
L |
2.1418526828843 |
L(r)(E,1)/r! |
Ω |
0.53546317072106 |
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 |
54288h1 9048g1 |
Quadratic twists by: -4 -3 |