Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80736b |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
584640 |
Modular degree for the optimal curve |
Δ |
-55323251302182912 = -1 · 212 · 33 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 2 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65037,13014693] |
[a1,a2,a3,a4,a6] |
j |
-14848/27 |
j-invariant |
L |
1.8940242971673 |
L(r)(E,1)/r! |
Ω |
0.31567071866197 |
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 |
80736e1 80736n1 |
Quadratic twists by: -4 29 |