Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bn |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
123273216 = 216 · 32 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2497,48865] |
[a1,a2,a3,a4,a6] |
Generators |
[27:20:1] |
Generators of the group modulo torsion |
j |
26282902468/1881 |
j-invariant |
L |
5.7987766428529 |
L(r)(E,1)/r! |
Ω |
1.7684233194982 |
Real period |
R |
1.6395329610619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128u1 10032e1 120384cs1 |
Quadratic twists by: -4 8 -3 |