Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272bh |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
411341317632 = 29 · 39 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44211,-3577894] |
[a1,a2,a3,a4,a6] |
j |
25604555308424/1102059 |
j-invariant |
L |
1.3169766744108 |
L(r)(E,1)/r! |
Ω |
0.32924416860359 |
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 |
34272u4 68544bn4 11424a3 |
Quadratic twists by: -4 8 -3 |