Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856c |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
2 |
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] |
j |
-55990084/29 |
j-invariant |
L |
1.1275793603182 |
L(r)(E,1)/r! |
Ω |
0.56378968015909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1856i1 232b1 16704q1 46400l1 |
Quadratic twists by: -4 8 -3 5 |