Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9672i |
Isogeny class |
Conductor |
9672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
73763469312 = 211 · 3 · 13 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1984,30752] |
[a1,a2,a3,a4,a6] |
j |
421927316354/36017319 |
j-invariant |
L |
1.064671849859 |
L(r)(E,1)/r! |
Ω |
1.064671849859 |
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 |
19344a3 77376k4 29016e4 125736l4 |
Quadratic twists by: -4 8 -3 13 |