Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160bc |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-591299481600 = -1 · 212 · 36 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,36992] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:180:1] |
Generators of the group modulo torsion |
j |
85184/198025 |
j-invariant |
L |
4.9856972046981 |
L(r)(E,1)/r! |
Ω |
0.71984897390712 |
Real period |
R |
0.86575404044091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998863938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bb2 14240i2 |
Quadratic twists by: -4 -3 |