Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9048p |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1073436624 = 24 · 34 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-839,8946] |
[a1,a2,a3,a4,a6] |
Generators |
[19:15:1] |
Generators of the group modulo torsion |
j |
4087023572992/67089789 |
j-invariant |
L |
4.6705916630078 |
L(r)(E,1)/r! |
Ω |
1.5550935546225 |
Real period |
R |
1.5017076140289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18096i1 72384b1 27144e1 117624t1 |
Quadratic twists by: -4 8 -3 13 |