Atkin-Lehner |
17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8993a |
Isogeny class |
Conductor |
8993 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12364105485169 = -1 · 174 · 236 |
Discriminant |
Eigenvalues |
-1 0 2 -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-364,169288] |
[a1,a2,a3,a4,a6] |
j |
-35937/83521 |
j-invariant |
L |
0.57252618336207 |
L(r)(E,1)/r! |
Ω |
0.57252618336207 |
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 |
80937s3 17a1 |
Quadratic twists by: -3 -23 |