Atkin-Lehner |
3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195u |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6975024615 = 36 · 5 · 134 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16112,-783116] |
[a1,a2,a3,a4,a6] |
j |
634481952220089/9567935 |
j-invariant |
L |
1.6950194324627 |
L(r)(E,1)/r! |
Ω |
0.4237548581145 |
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 |
4355a4 |
Quadratic twists by: -3 |