Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885t |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
13728 |
Modular degree for the optimal curve |
Δ |
-1646581365 = -1 · 311 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-166,2105] |
[a1,a2,a3,a4,a6] |
Generators |
[11:35:1] |
Generators of the group modulo torsion |
j |
-2994503161/9743085 |
j-invariant |
L |
3.1285260032341 |
L(r)(E,1)/r! |
Ω |
1.3146298602996 |
Real period |
R |
0.21634337042569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655v1 27885v1 |
Quadratic twists by: -3 13 |