Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576u |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
18127587540729856 = 229 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 6 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65921,-669311] |
[a1,a2,a3,a4,a6] |
Generators |
[1377:-50176:1] [-93:2156:1] |
Generators of the group modulo torsion |
j |
1027243729/587776 |
j-invariant |
L |
9.3920550476761 |
L(r)(E,1)/r! |
Ω |
0.32293505953133 |
Real period |
R |
1.8177135724418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576ci1 4018m1 18368d1 |
Quadratic twists by: -4 8 -7 |