Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ds |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
104892035996160000 = 212 · 310 · 54 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563043,161866658] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:16200:1] |
Generators of the group modulo torsion |
j |
6610905152742241/35128130625 |
j-invariant |
L |
4.0837911740262 |
L(r)(E,1)/r! |
Ω |
0.33688917710716 |
Real period |
R |
1.5152576316905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000211 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355f2 28560cv2 |
Quadratic twists by: -4 -3 |