Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576g |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5823302575104 = 210 · 38 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8571,-282490] |
[a1,a2,a3,a4,a6] |
j |
93280467172/7800849 |
j-invariant |
L |
0.99764568375462 |
L(r)(E,1)/r! |
Ω |
0.49882284187731 |
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 |
19152ba2 76608bv2 3192j2 67032bf2 |
Quadratic twists by: -4 8 -3 -7 |