Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160bb |
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 |
[194:2700:1] |
Generators of the group modulo torsion |
j |
85184/198025 |
j-invariant |
L |
7.6854398826132 |
L(r)(E,1)/r! |
Ω |
0.42585961446037 |
Real period |
R |
2.2558607387034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bc2 14240j2 |
Quadratic twists by: -4 -3 |