Atkin-Lehner |
3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43197l |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-78745378011993 = -1 · 32 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6894,366265] |
[a1,a2,a3,a4,a6] |
j |
20458415375/44449713 |
j-invariant |
L |
1.6938201453403 |
L(r)(E,1)/r! |
Ω |
0.423455036371 |
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 |
129591j2 3927e2 |
Quadratic twists by: -3 -11 |