Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185r |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
5010757898625 = 314 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196187,-33397414] |
[a1,a2,a3,a4,a6] |
j |
1145525568187869289/6873467625 |
j-invariant |
L |
1.3610797661739 |
L(r)(E,1)/r! |
Ω |
0.22684662769564 |
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 |
7395g1 110925bg1 |
Quadratic twists by: -3 5 |