Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856i |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-1900544 = -1 · 216 · 29 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,2111] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
3.1268746103726 |
L(r)(E,1)/r! |
Ω |
2.597461106148 |
Real period |
R |
0.30095490197827 |
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 |
1856c1 464b1 16704cg1 46400by1 |
Quadratic twists by: -4 8 -3 5 |