Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8096d |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1379299328 = 212 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:28:1] |
Generators of the group modulo torsion |
j |
618470208/336743 |
j-invariant |
L |
4.5803056372184 |
L(r)(E,1)/r! |
Ω |
1.2409820712753 |
Real period |
R |
1.8454358621441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8096g3 16192bb1 72864n3 89056g3 |
Quadratic twists by: -4 8 -3 -11 |