Atkin-Lehner |
2+ 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568a |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3137785344 = -1 · 29 · 33 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 6 -6 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,-83286] |
[a1,a2,a3,a4,a6] |
j |
-374181897816/226981 |
j-invariant |
L |
1.8485829504035 |
L(r)(E,1)/r! |
Ω |
0.30809715840059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17568b1 35136bg1 17568g1 |
Quadratic twists by: -4 8 -3 |