Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266j |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
125154678091248 = 24 · 38 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3562355,2587640798] |
[a1,a2,a3,a4,a6] |
Generators |
[963:6616:1] |
Generators of the group modulo torsion |
j |
1035797864656694257/25929072 |
j-invariant |
L |
5.1073232963809 |
L(r)(E,1)/r! |
Ω |
0.42694105464219 |
Real period |
R |
1.4953244835699 |
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 |
57798bo4 1482j4 |
Quadratic twists by: -3 13 |