Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cn |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7169235937500 = 22 · 3 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41406,-3243864] |
[a1,a2,a3,a4,a6] |
j |
66730743078481/60937500 |
j-invariant |
L |
5.3552219177817 |
L(r)(E,1)/r! |
Ω |
0.33470136986135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cm4 95550bp4 390b4 |
Quadratic twists by: -3 5 -7 |