Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748q |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
231 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-9224800880585472 = -1 · 28 · 311 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27893,-4965993] |
[a1,a2,a3,a4,a6] |
Generators |
[841:-23814:1] |
Generators of the group modulo torsion |
j |
-9375296192512000/36034378439787 |
j-invariant |
L |
6.6118058611915 |
L(r)(E,1)/r! |
Ω |
0.16886432498495 |
Real period |
R |
0.16950019607863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992bg1 62244bb1 |
Quadratic twists by: -4 -3 |