Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182r |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4353257302272 = -1 · 28 · 39 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22775,-1321009] |
[a1,a2,a3,a4,a6] |
Generators |
[207:1570:1] |
Generators of the group modulo torsion |
j |
-1792063785219625/5971546368 |
j-invariant |
L |
8.0521224178448 |
L(r)(E,1)/r! |
Ω |
0.19427629167862 |
Real period |
R |
0.43173706097209 |
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 |
129456bq1 5394e1 |
Quadratic twists by: -4 -3 |