Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506j |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
150457339648 = 28 · 75 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11+ 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6412,198352] |
[a1,a2,a3,a4,a6] |
Generators |
[-602:4305:8] [-56:644:1] |
Generators of the group modulo torsion |
j |
100889160629625/520613632 |
j-invariant |
L |
4.6959118431124 |
L(r)(E,1)/r! |
Ω |
1.0337550201631 |
Real period |
R |
0.22712885313829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506f1 |
Quadratic twists by: 17 |