Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2892243639600000000 = 210 · 311 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-885027,309844946] |
[a1,a2,a3,a4,a6] |
Generators |
[-878:20250:1] |
Generators of the group modulo torsion |
j |
102698898986742916/3874426171875 |
j-invariant |
L |
7.3476635031882 |
L(r)(E,1)/r! |
Ω |
0.25218973012675 |
Real period |
R |
1.8209661784715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963111 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840x4 28560f4 |
Quadratic twists by: -4 -3 |