Atkin-Lehner |
17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16337a |
Isogeny class |
Conductor |
16337 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
15087562577 = 17 · 316 |
Discriminant |
Eigenvalues |
-1 0 -2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87151,9924502] |
[a1,a2,a3,a4,a6] |
j |
82483294977/17 |
j-invariant |
L |
0.49314930359124 |
L(r)(E,1)/r! |
Ω |
0.98629860718248 |
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 |
17a3 |
Quadratic twists by: -31 |