Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016u |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-45635862528 = -1 · 218 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1168,18880] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-58:1] [-11:174:1] |
Generators of the group modulo torsion |
j |
-43059012625/11141568 |
j-invariant |
L |
6.7334566374191 |
L(r)(E,1)/r! |
Ω |
1.0805057767045 |
Real period |
R |
1.5579409158637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002n1 128064df1 96048t1 |
Quadratic twists by: -4 8 -3 |