Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488u |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
87340032 = 210 · 38 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-920] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] [-6:4:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
4.4422079158475 |
L(r)(E,1)/r! |
Ω |
1.2918500689268 |
Real period |
R |
1.7193202302253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488bw1 468e1 2496l1 97344ct1 |
Quadratic twists by: -4 8 -3 13 |