Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856g |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-12459008 = -1 · 210 · 233 |
Discriminant |
Eigenvalues |
2+ 1 -2 2 6 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,167] |
[a1,a2,a3,a4,a6] |
j |
256 |
j-invariant |
L |
3.2069143182194 |
L(r)(E,1)/r! |
Ω |
1.6034571591155 |
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 |
33856bi1 4232f1 33856f1 |
Quadratic twists by: -4 8 -23 |