Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368s |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-1.5428531597261E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-564888,-250025580] |
[a1,a2,a3,a4,a6] |
Generators |
[1212:29106:1] |
Generators of the group modulo torsion |
j |
-4866890555501529625/3766731346987488 |
j-invariant |
L |
4.9947985247725 |
L(r)(E,1)/r! |
Ω |
0.084258389751371 |
Real period |
R |
2.6945245126391 |
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 |
2046b2 65472br2 49104bm2 |
Quadratic twists by: -4 8 -3 |