Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760s |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-11714560 = -1 · 214 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,163] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] |
Generators of the group modulo torsion |
j |
-1024/715 |
j-invariant |
L |
3.9954778433311 |
L(r)(E,1)/r! |
Ω |
1.829430551449 |
Real period |
R |
2.1840008302924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760by1 5720f1 |
Quadratic twists by: -4 8 |