Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016k |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-43294832 = -1 · 24 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 0 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2695,53851] |
[a1,a2,a3,a4,a6] |
Generators |
[35:49:1] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
2.7248570031904 |
L(r)(E,1)/r! |
Ω |
1.8695100870849 |
Real period |
R |
0.36438115819948 |
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 |
18032g1 72128x1 81144bk1 184d1 |
Quadratic twists by: -4 8 -3 -7 |