Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bf |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26013892608 = -1 · 215 · 38 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-7760] |
[a1,a2,a3,a4,a6] |
Generators |
[38:216:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
3.2108366751441 |
L(r)(E,1)/r! |
Ω |
0.54411394500351 |
Real period |
R |
0.73762966025513 |
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 |
6336v2 3168k2 2112o2 69696dr2 |
Quadratic twists by: -4 8 -3 -11 |