Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118k |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
1780298837580054528 = 230 · 37 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328145,-33289279] |
[a1,a2,a3,a4,a6] |
j |
5360339745382407625/2442110888312832 |
j-invariant |
L |
2.0825985652186 |
L(r)(E,1)/r! |
Ω |
0.20825985652186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
64944bq3 2706g3 89298o3 |
Quadratic twists by: -4 -3 -11 |