Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109x |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
3572829 = 36 · 132 · 29 |
Discriminant |
Eigenvalues |
2 3- -3 0 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:23:8] |
Generators of the group modulo torsion |
j |
53248/29 |
j-invariant |
L |
9.6978392137925 |
L(r)(E,1)/r! |
Ω |
2.0386982934785 |
Real period |
R |
2.3784390374992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4901b1 44109y1 |
Quadratic twists by: -3 13 |