Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881n |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
807720893285931549 = 313 · 477 |
Discriminant |
Eigenvalues |
2 3- -3 -3 -5 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-245199,17727777] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:44699:8] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
6.6104341799193 |
L(r)(E,1)/r! |
Ω |
0.25066685825598 |
Real period |
R |
6.5928481989118 |
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 |
6627i1 423e1 |
Quadratic twists by: -3 -47 |