Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368p |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
602334019584 = 214 · 34 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10944,-435456] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:30:1] |
Generators of the group modulo torsion |
j |
35394167353537/147054204 |
j-invariant |
L |
2.6151471458141 |
L(r)(E,1)/r! |
Ω |
0.46688591877811 |
Real period |
R |
2.8006275630011 |
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 |
2046i4 65472cs3 49104bu3 |
Quadratic twists by: -4 8 -3 |