Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cd |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-279115247803392 = -1 · 210 · 38 · 74 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13797,508113] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-1215:1] |
Generators of the group modulo torsion |
j |
218221573115125/209703416832 |
j-invariant |
L |
11.500078096506 |
L(r)(E,1)/r! |
Ω |
0.36058714961436 |
Real period |
R |
0.39865806741272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066y1 |
Quadratic twists by: -11 |