Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900y |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
14289858000 = 24 · 310 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1380,-18875] |
[a1,a2,a3,a4,a6] |
j |
199344128/9801 |
j-invariant |
L |
1.5713856553338 |
L(r)(E,1)/r! |
Ω |
0.7856928276669 |
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 |
39600ex1 3300r1 9900x1 108900dn1 |
Quadratic twists by: -4 -3 5 -11 |