Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680t |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5170484808626995200 = 218 · 3 · 52 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-643265,-165510975] |
[a1,a2,a3,a4,a6] |
j |
112293400033564849/19723834261425 |
j-invariant |
L |
2.7296971229019 |
L(r)(E,1)/r! |
Ω |
0.17060608594389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gm3 1995e3 |
Quadratic twists by: -4 8 |