Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188p |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-99470592 = -1 · 28 · 36 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495,-4266] |
[a1,a2,a3,a4,a6] |
j |
-71874000/533 |
j-invariant |
L |
1.5175645656421 |
L(r)(E,1)/r! |
Ω |
0.50585485521402 |
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 |
76752ce1 2132c1 |
Quadratic twists by: -4 -3 |