Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bd |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-521149872950913024 = -1 · 211 · 314 · 72 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,174381,20512910] |
[a1,a2,a3,a4,a6] |
j |
392792984988766/349064075997 |
j-invariant |
L |
3.0567703859159 |
L(r)(E,1)/r! |
Ω |
0.19104812128851 |
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 |
37128y3 |
Quadratic twists by: -3 |