Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864j |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.003713095948E+29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,261649424,21474752782912] |
[a1,a2,a3,a4,a6] |
j |
483641001192506212470106511/48918776756543177755473774 |
j-invariant |
L |
0.77907766772266 |
L(r)(E,1)/r! |
Ω |
0.024346177116333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
858k2 27456cj2 20592bl2 75504bt2 |
Quadratic twists by: -4 8 -3 -11 |