Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244k |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.7913027434133E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3876316,-10112110956] |
[a1,a2,a3,a4,a6] |
j |
117381505393328/873116441649 |
j-invariant |
L |
4.0501658516911 |
L(r)(E,1)/r! |
Ω |
0.05625230379866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68244j2 |
Quadratic twists by: -11 |