Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20172g |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
6132422575964928 = 28 · 3 · 418 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8385388,-9348947308] |
[a1,a2,a3,a4,a6] |
j |
31899394000/3 |
j-invariant |
L |
3.1938996214765 |
L(r)(E,1)/r! |
Ω |
0.088719433929902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688q2 60516n2 20172a2 |
Quadratic twists by: -4 -3 41 |