Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576br |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103687372931072 = 219 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36129,2585407] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:2009:1] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
4.4897225677794 |
L(r)(E,1)/r! |
Ω |
0.59653681170939 |
Real period |
R |
1.8815781364017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cw2 4018f2 2624b2 |
Quadratic twists by: -4 8 -7 |