Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576r |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
101865351168 = 211 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8235,-287226] |
[a1,a2,a3,a4,a6] |
j |
1532121750/2527 |
j-invariant |
L |
2.0048720815434 |
L(r)(E,1)/r! |
Ω |
0.50121802038586 |
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 |
19152a2 76608k2 9576e2 67032bj2 |
Quadratic twists by: -4 8 -3 -7 |