Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160r |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
58776142233600 = 214 · 34 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9841,-68495] |
[a1,a2,a3,a4,a6] |
j |
3631696/2025 |
j-invariant |
L |
2.057719088827 |
L(r)(E,1)/r! |
Ω |
0.51442987520427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160hs2 14520v2 960b2 |
Quadratic twists by: -4 8 -11 |