Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bc |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4.4981944834358E+19 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57965355,-169887656839] |
[a1,a2,a3,a4,a6] |
j |
12158306898176952482761/25391135182112 |
j-invariant |
L |
2.188605367771 |
L(r)(E,1)/r! |
Ω |
0.054715136128556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
742e2 |
Quadratic twists by: -11 |