Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109bd |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-54478102262436099 = -1 · 311 · 139 · 29 |
Discriminant |
Eigenvalues |
2 3- 3 2 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,11231613] |
[a1,a2,a3,a4,a6] |
j |
-4096/7047 |
j-invariant |
L |
9.1164190969957 |
L(r)(E,1)/r! |
Ω |
0.28488809678931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14703p1 44109be1 |
Quadratic twists by: -3 13 |