Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hs |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17415153254400 = 217 · 3 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1548961,-742524961] |
[a1,a2,a3,a4,a6] |
j |
1770025017602/75 |
j-invariant |
L |
4.330512894813 |
L(r)(E,1)/r! |
Ω |
0.13532854473557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160r6 29040o6 960l5 |
Quadratic twists by: -4 8 -11 |