Atkin-Lehner |
2- 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
9636a |
Isogeny class |
Conductor |
9636 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
40112278272 = 28 · 35 · 112 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1028,-8604] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:66:1] |
Generators of the group modulo torsion |
j |
469770226000/156688587 |
j-invariant |
L |
5.8643804653597 |
L(r)(E,1)/r! |
Ω |
0.86568510080434 |
Real period |
R |
0.45161768098745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38544l2 28908g2 105996f2 |
Quadratic twists by: -4 -3 -11 |