Atkin-Lehner |
2- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56032d |
Isogeny class |
Conductor |
56032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
11542592 = 26 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:208:27] |
Generators of the group modulo torsion |
j |
709732288/180353 |
j-invariant |
L |
6.4351318595483 |
L(r)(E,1)/r! |
Ω |
1.6563692965732 |
Real period |
R |
3.8850827969622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56032a1 112064e1 |
Quadratic twists by: -4 8 |