Atkin-Lehner |
19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15979f |
Isogeny class |
Conductor |
15979 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-5237079697288709 = -1 · 192 · 299 |
Discriminant |
Eigenvalues |
1 1 3 4 1 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21848,3254167] |
[a1,a2,a3,a4,a6] |
j |
79507/361 |
j-invariant |
L |
4.9322208066645 |
L(r)(E,1)/r! |
Ω |
0.30826380041653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15979i1 |
Quadratic twists by: 29 |