Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016j |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-7.0501893148048E+22 |
Discriminant |
Eigenvalues |
2+ 3 0 7- -6 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1196825,12764985443] |
[a1,a2,a3,a4,a6] |
Generators |
[6664643195931:576601858134953:944076141] |
Generators of the group modulo torsion |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
6.9950022743251 |
L(r)(E,1)/r! |
Ω |
0.085050567373981 |
Real period |
R |
20.56130396981 |
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 |
18032h1 72128y1 81144bo1 1288c1 |
Quadratic twists by: -4 8 -3 -7 |