Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8772b |
Isogeny class |
Conductor |
8772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
28631808 = 28 · 32 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,1092] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
4135597648/111843 |
j-invariant |
L |
5.3325183770341 |
L(r)(E,1)/r! |
Ω |
2.0930085681713 |
Real period |
R |
0.84925888632698 |
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 |
35088k2 26316g2 |
Quadratic twists by: -4 -3 |