Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32448dk |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
521232353181696 = 214 · 3 · 139 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143537,20854575] |
[a1,a2,a3,a4,a6] |
j |
1882384/3 |
j-invariant |
L |
1.0422559402484 |
L(r)(E,1)/r! |
Ω |
0.52112797012692 |
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 |
32448q2 8112z2 97344gm2 32448dn2 |
Quadratic twists by: -4 8 -3 13 |