Atkin-Lehner |
2- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306t |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-47008782137152 = -1 · 26 · 116 · 17 · 293 |
Discriminant |
Eigenvalues |
2- -2 0 -5 11- -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70848,7259968] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:710:1] [-78:3548:1] |
Generators of the group modulo torsion |
j |
-22199887257625/26535232 |
j-invariant |
L |
10.180159014815 |
L(r)(E,1)/r! |
Ω |
0.63512284414388 |
Real period |
R |
0.44524015703856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986a2 |
Quadratic twists by: -11 |