Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288h |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
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] |
Generators |
[31:162:1] |
Generators of the group modulo torsion |
j |
2404846336000/16629093 |
j-invariant |
L |
5.3883206121342 |
L(r)(E,1)/r! |
Ω |
1.0121494033381 |
Real period |
R |
2.6618207718973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144k1 18096a1 |
Quadratic twists by: -4 -3 |