Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ce |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-1.0852558299343E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2779433,1790335449] |
[a1,a2,a3,a4,a6] |
Generators |
[736:11611:1] |
Generators of the group modulo torsion |
j |
-1007066580477875/4602544128 |
j-invariant |
L |
11.978543117328 |
L(r)(E,1)/r! |
Ω |
0.22881972699241 |
Real period |
R |
1.8696163873509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066z1 |
Quadratic twists by: -11 |