Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160u |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-239476290048000 = -1 · 212 · 310 · 53 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,749216] |
[a1,a2,a3,a4,a6] |
j |
-1745337664/80200125 |
j-invariant |
L |
5.5401214888416 |
L(r)(E,1)/r! |
Ω |
0.46167697304414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bn2 42720e2 |
Quadratic twists by: -4 -3 |