Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bn |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1916021952 = 26 · 311 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2955,61792] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:324:1] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
4.6953097605491 |
L(r)(E,1)/r! |
Ω |
1.4648535591326 |
Real period |
R |
1.6026549996333 |
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 |
7488bq1 3744m2 2496y1 97344eq1 |
Quadratic twists by: -4 8 -3 13 |