Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336r |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-15897378816 = -1 · 214 · 36 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2784,56864] |
[a1,a2,a3,a4,a6] |
j |
-199794688/1331 |
j-invariant |
L |
1.2468187425295 |
L(r)(E,1)/r! |
Ω |
1.2468187425295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6336cm2 396c2 704d2 69696di2 |
Quadratic twists by: -4 8 -3 -11 |