Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448n |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80803127771136 = 214 · 310 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249699,-48023710] |
[a1,a2,a3,a4,a6] |
Generators |
[-385715:29770:1331] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
3.4318421795526 |
L(r)(E,1)/r! |
Ω |
0.21357311248152 |
Real period |
R |
8.0343497823246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
306c3 9792bq3 816h3 61200fh4 |
Quadratic twists by: -4 8 -3 5 |