Atkin-Lehner |
2- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202o |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3447297134622408704 = -1 · 218 · 73 · 138 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-976662256164,-371505130144451824] |
[a1,a2,a3,a4,a6] |
j |
-21345032063621264911802983894803913/714197958656 |
j-invariant |
L |
8.4715340311322 |
L(r)(E,1)/r! |
Ω |
0.0024012283263249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554i3 |
Quadratic twists by: 13 |