Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cs |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.7928136194863E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2335772,882904159] |
[a1,a2,a3,a4,a6] |
Generators |
[-1051:47173:1] |
Generators of the group modulo torsion |
j |
71601742175656462587/24350015848632320 |
j-invariant |
L |
11.663331665803 |
L(r)(E,1)/r! |
Ω |
0.15275757239845 |
Real period |
R |
0.79533234717969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810a2 |
Quadratic twists by: -3 |