Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160n |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-827412480 = -1 · 212 · 32 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,-1919] |
[a1,a2,a3,a4,a6] |
Generators |
[25:84:1] |
Generators of the group modulo torsion |
j |
-379503424/202005 |
j-invariant |
L |
4.1919387276673 |
L(r)(E,1)/r! |
Ω |
0.59090435292729 |
Real period |
R |
1.7735267589842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32160f2 64320bj1 96480p2 |
Quadratic twists by: -4 8 -3 |