Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128744i |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12606484765952 = 28 · 7 · 117 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48924,-4178000] |
[a1,a2,a3,a4,a6] |
j |
28556329552/27797 |
j-invariant |
L |
1.2841156133106 |
L(r)(E,1)/r! |
Ω |
0.32102858606965 |
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 |
11704d2 |
Quadratic twists by: -11 |