Atkin-Lehner |
2- 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ep |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9987196147577E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17630267,-10844393191] |
[a1,a2,a3,a4,a6] |
j |
831328805729883716068969/411346997909150306850 |
j-invariant |
L |
5.5811522174185 |
L(r)(E,1)/r! |
Ω |
0.07751601372985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bd2 |
Quadratic twists by: -3 |