Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bj |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.5004937836875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25066328,-48117800613] |
[a1,a2,a3,a4,a6] |
j |
2389287011824328828752441/10288743187500000000 |
j-invariant |
L |
4.3193595095172 |
L(r)(E,1)/r! |
Ω |
0.067489994551343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37230i3 |
Quadratic twists by: -3 |