Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562u |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3618647942 = -1 · 2 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 5 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-810,9258] |
[a1,a2,a3,a4,a6] |
Generators |
[18:15:1] |
Generators of the group modulo torsion |
j |
-226981/14 |
j-invariant |
L |
5.0937858416647 |
L(r)(E,1)/r! |
Ω |
1.3822080704137 |
Real period |
R |
0.4606565710599 |
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 |
2366h1 16562bt1 |
Quadratic twists by: -7 13 |