Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109y |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127296 |
Modular degree for the optimal curve |
Δ |
17245363172661 = 36 · 138 · 29 |
Discriminant |
Eigenvalues |
-2 3- 3 0 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,-49982] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:31:1] |
Generators of the group modulo torsion |
j |
53248/29 |
j-invariant |
L |
4.0310568976921 |
L(r)(E,1)/r! |
Ω |
0.56543317171828 |
Real period |
R |
3.564574117072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4901a1 44109x1 |
Quadratic twists by: -3 13 |