Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bo |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-5680128 = -1 · 210 · 3 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,171] |
[a1,a2,a3,a4,a6] |
j |
-16384000/5547 |
j-invariant |
L |
2.2671005403148 |
L(r)(E,1)/r! |
Ω |
2.2671005403148 |
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 |
8256a1 2064d1 24768ci1 |
Quadratic twists by: -4 8 -3 |