Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576z |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
267396546816 = 28 · 310 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1839,-17390] |
[a1,a2,a3,a4,a6] |
j |
3685542352/1432809 |
j-invariant |
L |
3.014268853946 |
L(r)(E,1)/r! |
Ω |
0.75356721348649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19152r2 76608cp2 3192i2 67032cs2 |
Quadratic twists by: -4 8 -3 -7 |