Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608x |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8578732032 = 212 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4200,103284] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:378:1] [954:-9165:8] |
Generators of the group modulo torsion |
j |
2000852317801/2094417 |
j-invariant |
L |
5.6142160822355 |
L(r)(E,1)/r! |
Ω |
1.2996588376079 |
Real period |
R |
0.35998011681864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
663a1 42432cc1 31824z1 |
Quadratic twists by: -4 8 -3 |