Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dk |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
885271039672320 = 215 · 38 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78465,8311743] |
[a1,a2,a3,a4,a6] |
j |
13858588808/229635 |
j-invariant |
L |
3.9975156462816 |
L(r)(E,1)/r! |
Ω |
0.49968945577538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040bo3 23520d3 6720d3 |
Quadratic twists by: -4 8 -7 |