Atkin-Lehner |
3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785ba |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-2.5068134863413E+21 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2938848,-1429148273] |
[a1,a2,a3,a4,a6] |
Generators |
[4477:-318533:1] [1747:95062:1] |
Generators of the group modulo torsion |
j |
17963298062336/16041796875 |
j-invariant |
L |
9.2588490868669 |
L(r)(E,1)/r! |
Ω |
0.079452225157027 |
Real period |
R |
0.60694552269737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595a1 70785bd1 |
Quadratic twists by: -3 -11 |