Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048bc |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.462437631079E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1824976,-7490628672] |
[a1,a2,a3,a4,a6] |
j |
164109982300653435983/6011810622751581648 |
j-invariant |
L |
0.46010256298454 |
L(r)(E,1)/r! |
Ω |
0.057512820311446 |
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 |
6006bf4 |
Quadratic twists by: -4 |