Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016o |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13356156614344704 = -1 · 220 · 33 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 3 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21216,5693184] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:1682:1] |
Generators of the group modulo torsion |
j |
-257854523348449/3260780423424 |
j-invariant |
L |
3.6815735925101 |
L(r)(E,1)/r! |
Ω |
0.3376627672689 |
Real period |
R |
1.0903107921218 |
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 |
4002q1 128064cy1 96048bg1 |
Quadratic twists by: -4 8 -3 |