Atkin-Lehner |
17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8993a |
Isogeny class |
Conductor |
8993 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42782371921 = 172 · 236 |
Discriminant |
Eigenvalues |
-1 0 2 -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3009,63488] |
[a1,a2,a3,a4,a6] |
j |
20346417/289 |
j-invariant |
L |
0.57252618336207 |
L(r)(E,1)/r! |
Ω |
1.1450523667241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80937s2 17a2 |
Quadratic twists by: -3 -23 |