Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bs |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-10956570624 = -1 · 220 · 35 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -5 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-929,-12321] |
[a1,a2,a3,a4,a6] |
j |
-338608873/41796 |
j-invariant |
L |
4.2937388935238 |
L(r)(E,1)/r! |
Ω |
0.42937388935238 |
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 |
8256h1 2064h1 24768ct1 |
Quadratic twists by: -4 8 -3 |