Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185p |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4429568025 = -1 · 36 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-414,-4455] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/6076225 |
j-invariant |
L |
2.0627016195573 |
L(r)(E,1)/r! |
Ω |
0.51567540488931 |
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 |
2465a2 110925bk2 |
Quadratic twists by: -3 5 |