Atkin-Lehner |
3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407f |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-299887373331 = -1 · 314 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,816,-24773] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-365:1] |
Generators of the group modulo torsion |
j |
82426462208/411368139 |
j-invariant |
L |
3.7726532001554 |
L(r)(E,1)/r! |
Ω |
0.48850877541998 |
Real period |
R |
0.96534939339539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469b1 |
Quadratic twists by: -3 |