Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736v |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16828051968 = 29 · 34 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146032,-21528052] |
[a1,a2,a3,a4,a6] |
Generators |
[4679:318990:1] |
Generators of the group modulo torsion |
j |
672668087746709384/32867289 |
j-invariant |
L |
5.5947809326411 |
L(r)(E,1)/r! |
Ω |
0.24422341505265 |
Real period |
R |
5.7271135646792 |
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 |
8736s3 17472bw3 26208j4 61152bl4 |
Quadratic twists by: -4 8 -3 -7 |