Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.465375645696E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,909759,1176583905] |
[a1,a2,a3,a4,a6] |
Generators |
[1676703:339917500:9261] |
Generators of the group modulo torsion |
j |
179310732119/1392187500 |
j-invariant |
L |
4.5521332684863 |
L(r)(E,1)/r! |
Ω |
0.11813830142076 |
Real period |
R |
9.6330599669787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997815392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160dr3 29040dq3 10560bp4 |
Quadratic twists by: -4 8 -11 |