Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bi |
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] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
256 |
j-invariant |
L |
2.0731535567839 |
L(r)(E,1)/r! |
Ω |
1.1416987464361 |
Real period |
R |
0.90792495097995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856g1 8464c1 33856bf1 |
Quadratic twists by: -4 8 -23 |