Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6045b |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13280865 = 3 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2483,-48672] |
[a1,a2,a3,a4,a6] |
j |
1694053550246329/13280865 |
j-invariant |
L |
1.3525795058643 |
L(r)(E,1)/r! |
Ω |
0.67628975293214 |
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 |
96720cu4 18135l3 30225x4 78585e4 |
Quadratic twists by: -4 -3 5 13 |