Atkin-Lehner |
3+ 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16185b |
Isogeny class |
Conductor |
16185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
995904 |
Modular degree for the optimal curve |
Δ |
-2.8280963078052E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 6 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13873785,-19887285994] |
[a1,a2,a3,a4,a6] |
j |
-295330719524643923091521536/28280963078051623875 |
j-invariant |
L |
2.1120883501378 |
L(r)(E,1)/r! |
Ω |
0.039112747224773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48555f1 80925n1 |
Quadratic twists by: -3 5 |