Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
16068f |
Isogeny class |
Conductor |
16068 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
360951552 = 28 · 34 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588,5220] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:78:1] |
Generators of the group modulo torsion |
j |
87973954000/1409967 |
j-invariant |
L |
6.5098932024652 |
L(r)(E,1)/r! |
Ω |
1.7032525958564 |
Real period |
R |
0.63700604540416 |
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 |
64272n2 48204c2 |
Quadratic twists by: -4 -3 |