Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bu |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-9.6944391788179E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158036,-14980244169] |
[a1,a2,a3,a4,a6] |
j |
-598772290291596793/132982704784882681344 |
j-invariant |
L |
1.7562582395304 |
L(r)(E,1)/r! |
Ω |
0.048784951098313 |
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 |
13398h2 |
Quadratic twists by: -3 |