Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44080h |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-189804953600000 = -1 · 217 · 55 · 19 · 293 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 4 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9643,756442] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:928:1] |
Generators of the group modulo torsion |
j |
-24210305209089/46339100000 |
j-invariant |
L |
2.9327404160105 |
L(r)(E,1)/r! |
Ω |
0.50572986778403 |
Real period |
R |
0.48325212773829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510i1 |
Quadratic twists by: -4 |