Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288n |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
102592512 = 212 · 32 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1089,-14193] |
[a1,a2,a3,a4,a6] |
Generators |
[81:660:1] |
Generators of the group modulo torsion |
j |
34901664832/25047 |
j-invariant |
L |
5.5955944721096 |
L(r)(E,1)/r! |
Ω |
0.83105174366436 |
Real period |
R |
3.3665740519579 |
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 |
24288g2 48576q1 72864o2 |
Quadratic twists by: -4 8 -3 |