Atkin-Lehner |
2- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
32320r |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4178329600 = -1 · 214 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,399,-401] |
[a1,a2,a3,a4,a6] |
Generators |
[19:120:1] |
Generators of the group modulo torsion |
j |
427694384/255025 |
j-invariant |
L |
4.2088049437044 |
L(r)(E,1)/r! |
Ω |
0.80926265403815 |
Real period |
R |
1.3001974460032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32320g2 8080i2 |
Quadratic twists by: -4 8 |