Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592be |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
195827871075408 = 24 · 312 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69090960,-221044622641] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
0.94257681497317 |
L(r)(E,1)/r! |
Ω |
0.052365378609621 |
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 |
5148e3 82368em3 6864p3 |
Quadratic twists by: -4 8 -3 |