Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cd |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
312535248498000 = 24 · 36 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41382,3126519] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:2420:1] [135:18:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
11.405478267101 |
L(r)(E,1)/r! |
Ω |
0.53935023991687 |
Real period |
R |
3.5244501695907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560z1 9680e1 7920k1 |
Quadratic twists by: -4 -3 -11 |