Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20124c |
Isogeny class |
Conductor |
20124 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
22709773008 = 24 · 310 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3288,72205] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1215:8] |
Generators of the group modulo torsion |
j |
337032380416/1946997 |
j-invariant |
L |
6.758934344248 |
L(r)(E,1)/r! |
Ω |
1.2102888899529 |
Real period |
R |
2.7922814132875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496bm1 6708g1 |
Quadratic twists by: -4 -3 |