Atkin-Lehner |
2+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782c |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4586587700586E+19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13693451,-19508562355] |
[a1,a2,a3,a4,a6] |
j |
160289984521621066897/8233748485424 |
j-invariant |
L |
2.8253689089882 |
L(r)(E,1)/r! |
Ω |
0.078482469710383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j2 |
Quadratic twists by: -11 |