Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8092b |
Isogeny class |
Conductor |
8092 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
25376512 = 28 · 73 · 172 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -6 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,-7016] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:2:1] [61:416:1] |
Generators of the group modulo torsion |
j |
531250000/343 |
j-invariant |
L |
4.6176236844725 |
L(r)(E,1)/r! |
Ω |
0.92545853640381 |
Real period |
R |
4.9895522088073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32368x2 129472c2 72828k2 56644f2 |
Quadratic twists by: -4 8 -3 -7 |