Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046i |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
197567402244002 = 2 · 72 · 1710 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152791,-22939443] |
[a1,a2,a3,a4,a6] |
j |
16342588257633/8185058 |
j-invariant |
L |
1.9318721215815 |
L(r)(E,1)/r! |
Ω |
0.24148401519768 |
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 |
32368w4 129472b4 36414s4 101150o4 |
Quadratic twists by: -4 8 -3 5 |