Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bn |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6230016000 = 215 · 32 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5281,-145919] |
[a1,a2,a3,a4,a6] |
j |
497169541448/190125 |
j-invariant |
L |
1.1200918128759 |
L(r)(E,1)/r! |
Ω |
0.56004590643794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480cl2 6240s2 37440fc2 62400hd2 |
Quadratic twists by: -4 8 -3 5 |