Atkin-Lehner |
2+ 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19866l |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.1797307434952E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170014321,-1000574824060] |
[a1,a2,a3,a4,a6] |
j |
-543475817395047211880743791625/117973074349517103730556928 |
j-invariant |
L |
0.99192950805106 |
L(r)(E,1)/r! |
Ω |
0.020665198084397 |
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 |
59598bi4 |
Quadratic twists by: -3 |