Atkin-Lehner |
2- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12980g |
Isogeny class |
Conductor |
12980 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
21060050000 = 24 · 55 · 112 · 592 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-825,-6152] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:20:1] [-19:55:1] |
Generators of the group modulo torsion |
j |
3885902381056/1316253125 |
j-invariant |
L |
4.7027439800209 |
L(r)(E,1)/r! |
Ω |
0.91513640795443 |
Real period |
R |
0.34258965396815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51920x1 116820l1 64900c1 |
Quadratic twists by: -4 -3 5 |