Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040q |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15612936806400 = 213 · 3 · 52 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14480,648000] |
[a1,a2,a3,a4,a6] |
j |
81978400815121/3811752150 |
j-invariant |
L |
2.7621056840158 |
L(r)(E,1)/r! |
Ω |
0.69052642100394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2130o3 68160db3 51120ba3 85200dh3 |
Quadratic twists by: -4 8 -3 5 |