Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160r |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-92856365568000 = -1 · 212 · 32 · 53 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,463617] |
[a1,a2,a3,a4,a6] |
j |
85184/22670011125 |
j-invariant |
L |
2.8681856224927 |
L(r)(E,1)/r! |
Ω |
0.47803093708296 |
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 |
32160i2 64320v1 96480h2 |
Quadratic twists by: -4 8 -3 |