Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160r |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3808694016737280 = -1 · 216 · 38 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38559,-581535] |
[a1,a2,a3,a4,a6] |
j |
54607676/32805 |
j-invariant |
L |
2.057719088827 |
L(r)(E,1)/r! |
Ω |
0.25721493760214 |
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 |
116160hs3 14520v4 960b4 |
Quadratic twists by: -4 8 -11 |