Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44080w |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
1.1069743130373E+23 |
Discriminant |
Eigenvalues |
2- 1 5- -5 -1 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15006000,-15636899500] |
[a1,a2,a3,a4,a6] |
Generators |
[-16870:651605:8] |
Generators of the group modulo torsion |
j |
91234399825693107054001/27025740064386808000 |
j-invariant |
L |
5.2290813620921 |
L(r)(E,1)/r! |
Ω |
0.078456240978203 |
Real period |
R |
1.0098432514541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510l1 |
Quadratic twists by: -4 |