Atkin-Lehner |
3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19557b |
Isogeny class |
Conductor |
19557 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1987411769354043 = -1 · 37 · 41 · 536 |
Discriminant |
Eigenvalues |
0 3- 0 2 3 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40620,3811788] |
[a1,a2,a3,a4,a6] |
Generators |
[2804:148108:1] |
Generators of the group modulo torsion |
j |
-10167541202944000/2726216418867 |
j-invariant |
L |
4.1941331900424 |
L(r)(E,1)/r! |
Ω |
0.44318268796847 |
Real period |
R |
3.5488749650297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6519c2 |
Quadratic twists by: -3 |