Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48412a |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43344 |
Modular degree for the optimal curve |
Δ |
-296172416176 = -1 · 24 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 7+ -1 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-24226] |
[a1,a2,a3,a4,a6] |
j |
917504/3211 |
j-invariant |
L |
2.9699389287645 |
L(r)(E,1)/r! |
Ω |
0.49498982145183 |
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 |
48412q1 |
Quadratic twists by: -7 |