Atkin-Lehner |
3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743m |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
1.862933054931E+19 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-683982,-65267937] |
[a1,a2,a3,a4,a6] |
Generators |
[-1594:64333:8] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
6.2685024929354 |
L(r)(E,1)/r! |
Ω |
0.17607648269934 |
Real period |
R |
4.4501275786779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581e1 1197d1 |
Quadratic twists by: -3 -19 |