Atkin-Lehner |
19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15979g |
Isogeny class |
Conductor |
15979 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
246848 |
Modular degree for the optimal curve |
Δ |
-1890585770721223949 = -1 · 194 · 299 |
Discriminant |
Eigenvalues |
-1 1 3 -2 -1 -7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,204766,-55700143] |
[a1,a2,a3,a4,a6] |
j |
65450827/130321 |
j-invariant |
L |
0.54938574421124 |
L(r)(E,1)/r! |
Ω |
0.13734643605281 |
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 |
15979h1 |
Quadratic twists by: 29 |