Atkin-Lehner |
2+ 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256k |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
528384 = 212 · 3 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,-791] |
[a1,a2,a3,a4,a6] |
j |
131096512/129 |
j-invariant |
L |
1.3235476986236 |
L(r)(E,1)/r! |
Ω |
1.3235476986236 |
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 |
8256o1 4128n1 24768bd1 |
Quadratic twists by: -4 8 -3 |