Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9009b |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-160243083 = -1 · 33 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,30,-606] |
[a1,a2,a3,a4,a6] |
j |
110592000/5934929 |
j-invariant |
L |
1.7400411802656 |
L(r)(E,1)/r! |
Ω |
0.8700205901328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9009a2 63063i1 99099c1 117117a1 |
Quadratic twists by: -3 -7 -11 13 |