Atkin-Lehner |
3- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bq |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
8.804762735004E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3316688,-1835225883] |
[a1,a2,a3,a4,a6] |
Generators |
[-668:9409:1] |
Generators of the group modulo torsion |
j |
258236455889265892921/56350481504025555 |
j-invariant |
L |
3.9083441141121 |
L(r)(E,1)/r! |
Ω |
0.1136092104691 |
Real period |
R |
0.95560134587699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945o3 |
Quadratic twists by: 5 |