Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336p |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29265629184 = 212 · 310 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,-14560] |
[a1,a2,a3,a4,a6] |
j |
69934528/9801 |
j-invariant |
L |
1.6253700546702 |
L(r)(E,1)/r! |
Ω |
0.81268502733511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6336bc2 3168m1 2112f2 69696cr2 |
Quadratic twists by: -4 8 -3 -11 |