Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9009a |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-116817207507 = -1 · 39 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,270,16355] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:94:1] |
Generators of the group modulo torsion |
j |
110592000/5934929 |
j-invariant |
L |
3.6201836480915 |
L(r)(E,1)/r! |
Ω |
0.79851720591582 |
Real period |
R |
0.75560543577341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9009b1 63063e2 99099d2 117117d2 |
Quadratic twists by: -3 -7 -11 13 |