Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944s |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81655820288 = 212 · 74 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-708539,229558698] |
[a1,a2,a3,a4,a6] |
Generators |
[193197:-16234190:27] |
Generators of the group modulo torsion |
j |
9604063974002260113/19935503 |
j-invariant |
L |
5.913616018219 |
L(r)(E,1)/r! |
Ω |
0.70451851689832 |
Real period |
R |
8.3938404404296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3059a3 |
Quadratic twists by: -4 |