Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848ck |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-720081212539392 = -1 · 29 · 38 · 118 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,1291070] |
[a1,a2,a3,a4,a6] |
j |
-8/1089 |
j-invariant |
L |
3.2350792713597 |
L(r)(E,1)/r! |
Ω |
0.40438490892027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848bf2 69696dr2 11616h2 3168k2 |
Quadratic twists by: -4 8 -3 -11 |