Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320x |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
148440678400 = 216 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,-31824] |
[a1,a2,a3,a4,a6] |
Generators |
[5470:404544:1] |
Generators of the group modulo torsion |
j |
15450012036/2265025 |
j-invariant |
L |
5.7388267910878 |
L(r)(E,1)/r! |
Ω |
0.71284198998328 |
Real period |
R |
4.0253147856478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771159 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96320bq2 12040a2 |
Quadratic twists by: -4 8 |