Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bx |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-513216 = -1 · 26 · 36 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-281532,-57496282] |
[a1,a2,a3,a4,a6] |
Generators |
[256809151821554432631344305:6030326746850354449619335049:278049407767690881341375] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
4.4667634645865 |
L(r)(E,1)/r! |
Ω |
0.10363050574259 |
Real period |
R |
43.102785541562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6336y3 1584p3 704k3 69696fw3 |
Quadratic twists by: -4 8 -3 -11 |