Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160bc |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2595240000 = 26 · 36 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-993,11792] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] |
Generators of the group modulo torsion |
j |
2320940224/55625 |
j-invariant |
L |
4.9856972046981 |
L(r)(E,1)/r! |
Ω |
1.4396979478142 |
Real period |
R |
1.7315080808818 |
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 |
128160bb1 14240i1 |
Quadratic twists by: -4 -3 |