Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743c |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
311221635813818793 = 39 · 72 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-960689,-361192904] |
[a1,a2,a3,a4,a6] |
Generators |
[-29863736:10144592:50653] |
Generators of the group modulo torsion |
j |
15438249/49 |
j-invariant |
L |
3.428543198016 |
L(r)(E,1)/r! |
Ω |
0.15252349821436 |
Real period |
R |
11.239393398903 |
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 |
22743b2 22743a2 |
Quadratic twists by: -3 -19 |