Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448o |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50761728 = 212 · 36 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13059,-574398] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1170:1] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
3.2371961203246 |
L(r)(E,1)/r! |
Ω |
0.44660345608528 |
Real period |
R |
3.6242398891181 |
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 |
153c3 9792bs3 272b3 61200fz4 |
Quadratic twists by: -4 8 -3 5 |