Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810t |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.2887619817796E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,192947085,-1042164679325] |
[a1,a2,a3,a4,a6] |
j |
1089709777746171302732318159/1274178598323670440843750 |
j-invariant |
L |
0.42747726816769 |
L(r)(E,1)/r! |
Ω |
0.026717305567989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cd5 |
Quadratic twists by: -3 |