Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bn |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
856424448 = 218 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1068,-13360] |
[a1,a2,a3,a4,a6] |
j |
19034163/121 |
j-invariant |
L |
3.3418199844538 |
L(r)(E,1)/r! |
Ω |
0.83545499611346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336j2 1584k2 6336bu2 69696eu2 |
Quadratic twists by: -4 8 -3 -11 |