Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109be |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11286566811 = -1 · 311 · 133 · 29 |
Discriminant |
Eigenvalues |
-2 3- -3 -2 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39,5112] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:40:1] [-13:58:1] |
Generators of the group modulo torsion |
j |
-4096/7047 |
j-invariant |
L |
3.9024473784077 |
L(r)(E,1)/r! |
Ω |
1.0271786407432 |
Real period |
R |
0.47489881793882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14703o1 44109bd1 |
Quadratic twists by: -3 13 |