Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ds |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1195196525614080 = 210 · 32 · 5 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26781,272259] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1392:1] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
6.9352607117576 |
L(r)(E,1)/r! |
Ω |
0.41984077752086 |
Real period |
R |
4.1296969797871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999251365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160fv1 14520n1 10560r1 |
Quadratic twists by: -4 8 -11 |