Atkin-Lehner |
2- 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17112k |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
2190336 = 210 · 3 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -3 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64,-164] |
[a1,a2,a3,a4,a6] |
j |
28756228/2139 |
j-invariant |
L |
3.387327034772 |
L(r)(E,1)/r! |
Ω |
1.693663517386 |
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 |
34224j1 51336h1 |
Quadratic twists by: -4 -3 |