Atkin-Lehner |
2- 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050cl |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
8675950500000000 = 28 · 35 · 59 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71763,-5893983] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:849:1] |
Generators of the group modulo torsion |
j |
20926461977693/4442086656 |
j-invariant |
L |
13.594455492443 |
L(r)(E,1)/r! |
Ω |
0.29607259989018 |
Real period |
R |
1.1478988151303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050h1 |
Quadratic twists by: 5 |