Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3598560000 = 28 · 33 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447,-2214] |
[a1,a2,a3,a4,a6] |
j |
1429033968/520625 |
j-invariant |
L |
4.279734225701 |
L(r)(E,1)/r! |
Ω |
1.0699335512758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420e2 85680cv2 |
Quadratic twists by: -4 -3 |