Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bj |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-296745655118856192 = -1 · 225 · 314 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81697,-27680063] |
[a1,a2,a3,a4,a6] |
Generators |
[6111525:3555584:15625] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
3.9208889316194 |
L(r)(E,1)/r! |
Ω |
0.12756978260748 |
Real period |
R |
7.6838120507026 |
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 |
8256m2 2064j2 24768cp2 |
Quadratic twists by: -4 8 -3 |