Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256o |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-545292288 = -1 · 215 · 32 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,1215] |
[a1,a2,a3,a4,a6] |
j |
-7301384/16641 |
j-invariant |
L |
2.9134673172883 |
L(r)(E,1)/r! |
Ω |
1.4567336586442 |
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 |
8256k2 4128b2 24768n2 |
Quadratic twists by: -4 8 -3 |