Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009i |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-1138043855279331 = -1 · 316 · 75 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-295032,-61702407] |
[a1,a2,a3,a4,a6] |
j |
-3895861901277528064/1561102682139 |
j-invariant |
L |
2.0484333364402 |
L(r)(E,1)/r! |
Ω |
0.10242166682201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3003h1 63063z1 99099y1 117117l1 |
Quadratic twists by: -3 -7 -11 13 |