Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fu |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1195389135360000 = 212 · 34 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32601,1527399] |
[a1,a2,a3,a4,a6] |
j |
7952095936/2480625 |
j-invariant |
L |
3.6021655254004 |
L(r)(E,1)/r! |
Ω |
0.45027069073655 |
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 |
47040ed2 23520bj1 6720bo2 |
Quadratic twists by: -4 8 -7 |