Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700ba |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-154367002968750000 = -1 · 24 · 312 · 510 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88800,15924625] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:3159:1] |
Generators of the group modulo torsion |
j |
424908161024/847006875 |
j-invariant |
L |
8.0672666851161 |
L(r)(E,1)/r! |
Ω |
0.22410914811997 |
Real period |
R |
1.4998767982775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900z1 25740d1 |
Quadratic twists by: -3 5 |