Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12584i |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
44586647248 = 24 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 2 -2 11- 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-887,-838] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
22528/13 |
j-invariant |
L |
5.8166928167779 |
L(r)(E,1)/r! |
Ω |
0.9542663026908 |
Real period |
R |
3.0477303874067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168c1 100672br1 113256p1 12584d1 |
Quadratic twists by: -4 8 -3 -11 |