Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ba |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
719698659840000 = 212 · 312 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22548,-179872] |
[a1,a2,a3,a4,a6] |
j |
424580764096/241025625 |
j-invariant |
L |
1.6827152884292 |
L(r)(E,1)/r! |
Ω |
0.42067882041258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bp2 33120bg1 22080s2 |
Quadratic twists by: -4 8 -3 |