Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bs |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-6798116539906034112 = -1 · 26 · 37 · 712 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31059320,66632698811] |
[a1,a2,a3,a4,a6] |
j |
-4545398877836834548077625/9325262743355328 |
j-invariant |
L |
3.2577871962757 |
L(r)(E,1)/r! |
Ω |
0.20361169976651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
13398u3 |
Quadratic twists by: -3 |