Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602v |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-16743168 = -1 · 28 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 1 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49,233] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-13:1] |
Generators of the group modulo torsion |
j |
-77086633/99072 |
j-invariant |
L |
10.292419112357 |
L(r)(E,1)/r! |
Ω |
1.9830552068042 |
Real period |
R |
0.32438642772791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43602j1 |
Quadratic twists by: 13 |