Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728eg |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
1.9732606488276E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263167779,-1643224188382] |
[a1,a2,a3,a4,a6] |
j |
16728308209329751/16376256 |
j-invariant |
L |
3.7483607591913 |
L(r)(E,1)/r! |
Ω |
0.037483609204087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466o1 30576bt1 91728fu1 |
Quadratic twists by: -4 -3 -7 |