Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960bi |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-890560 = -1 · 26 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 11+ 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] [4:11:1] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
6.0508843648064 |
L(r)(E,1)/r! |
Ω |
2.2510340720072 |
Real period |
R |
1.3440232735757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960n1 20240x1 |
Quadratic twists by: -4 8 |