Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109bb |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
304737303897 = 314 · 133 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 2 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-463820,-121466770] |
[a1,a2,a3,a4,a6] |
j |
6889911821399125/190269 |
j-invariant |
L |
0.73176604217278 |
L(r)(E,1)/r! |
Ω |
0.18294151051696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14703m1 44109z1 |
Quadratic twists by: -3 13 |