Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ed |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8.1837117802597E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-559884,-4355430896] |
[a1,a2,a3,a4,a6] |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
0.70572303227771 |
L(r)(E,1)/r! |
Ω |
0.05881025250714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cp2 17136bf2 22848cl2 |
Quadratic twists by: -4 8 -3 |