Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016bg |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1628079361376256 = -1 · 214 · 311 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 3 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105800,13352052] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-522:1] |
Generators of the group modulo torsion |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
6.7985456681307 |
L(r)(E,1)/r! |
Ω |
0.47591455488115 |
Real period |
R |
0.21644277663387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002b1 128064co1 96048u1 |
Quadratic twists by: -4 8 -3 |