Atkin-Lehner |
2+ 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16430a |
Isogeny class |
Conductor |
16430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-4894661300 = -1 · 22 · 52 · 314 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1089,14136] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:168:1] |
Generators of the group modulo torsion |
j |
-142637575594249/4894661300 |
j-invariant |
L |
4.1834214475003 |
L(r)(E,1)/r! |
Ω |
1.3604395135625 |
Real period |
R |
0.19219071326743 |
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 |
82150j1 |
Quadratic twists by: 5 |