Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960z |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-4560308403200 = -1 · 210 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 11+ 7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10972,454136] |
[a1,a2,a3,a4,a6] |
Generators |
[2559:13915:27] |
Generators of the group modulo torsion |
j |
-142653079805184/4453426175 |
j-invariant |
L |
12.869829848198 |
L(r)(E,1)/r! |
Ω |
0.77049516732915 |
Real period |
R |
1.3919436042355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960cd1 10120g1 |
Quadratic twists by: -4 8 |