Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336k |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-24375641707118592 = -1 · 221 · 38 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23340,7636016] |
[a1,a2,a3,a4,a6] |
j |
-7357983625/127552392 |
j-invariant |
L |
2.5532177580475 |
L(r)(E,1)/r! |
Ω |
0.31915221975594 |
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 |
6336ce4 198b4 2112e4 69696bn4 |
Quadratic twists by: -4 8 -3 -11 |