Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600ce |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-28160000000 = -1 · 215 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,8063] |
[a1,a2,a3,a4,a6] |
Generators |
[13:100:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
6.3224146389383 |
L(r)(E,1)/r! |
Ω |
0.94714771617355 |
Real period |
R |
0.83440187456725 |
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 |
17600bt1 8800b1 3520x1 |
Quadratic twists by: -4 8 5 |