Atkin-Lehner |
2+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
43168b |
Isogeny class |
Conductor |
43168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-141624193024 = -1 · 212 · 193 · 712 |
Discriminant |
Eigenvalues |
2+ 2 3 -3 5 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19229,1032917] |
[a1,a2,a3,a4,a6] |
Generators |
[602:639:8] |
Generators of the group modulo torsion |
j |
-191980203484672/34576219 |
j-invariant |
L |
10.617587470435 |
L(r)(E,1)/r! |
Ω |
1.002055499132 |
Real period |
R |
2.6489519491806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43168f1 86336g1 |
Quadratic twists by: -4 8 |