Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bc |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-80018325504 = -1 · 214 · 32 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1061,-19389] |
[a1,a2,a3,a4,a6] |
j |
-8069733376/4883931 |
j-invariant |
L |
1.6279206018175 |
L(r)(E,1)/r! |
Ω |
0.40698015051778 |
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 |
47424cf1 5928c1 |
Quadratic twists by: -4 8 |