Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256n |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-57065472 = -1 · 214 · 34 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43,-333] |
[a1,a2,a3,a4,a6] |
j |
524288/3483 |
j-invariant |
L |
3.9558758719513 |
L(r)(E,1)/r! |
Ω |
0.98896896798782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256bk1 516b1 24768q1 |
Quadratic twists by: -4 8 -3 |