Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168cw |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5815304230556663808 = 219 · 3 · 73 · 476 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-564033,-114739521] |
[a1,a2,a3,a4,a6] |
j |
75700387468140625/22183625147082 |
j-invariant |
L |
2.1375257873713 |
L(r)(E,1)/r! |
Ω |
0.17812714912552 |
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 |
63168n4 15792n4 |
Quadratic twists by: -4 8 |