Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600cm |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
489888000 = 28 · 37 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-1150] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
78608/21 |
j-invariant |
L |
4.6046362629415 |
L(r)(E,1)/r! |
Ω |
1.218538145703 |
Real period |
R |
0.47235249458329 |
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 |
25200bz1 100800hp1 4200h1 12600bb1 |
Quadratic twists by: -4 8 -3 5 |