Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288j |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11515770089472 = 212 · 3 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6689,130767] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:11132:27] |
Generators of the group modulo torsion |
j |
8081877754432/2811467307 |
j-invariant |
L |
5.6219069627645 |
L(r)(E,1)/r! |
Ω |
0.65800971529236 |
Real period |
R |
0.71198378383956 |
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 |
24288d2 48576ca1 72864bc2 |
Quadratic twists by: -4 8 -3 |