Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16744k |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-183782144 = -1 · 28 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -5 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,4277] |
[a1,a2,a3,a4,a6] |
Generators |
[11:14:1] |
Generators of the group modulo torsion |
j |
-48174982144/717899 |
j-invariant |
L |
3.2785633013104 |
L(r)(E,1)/r! |
Ω |
1.8031161873571 |
Real period |
R |
0.22728452860517 |
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 |
33488c1 117208p1 |
Quadratic twists by: -4 -7 |