Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117ca |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.6551211576171E+23 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26372592,57730230819] |
[a1,a2,a3,a4,a6] |
Generators |
[-2270021124:-102564540327:438976] |
Generators of the group modulo torsion |
j |
-1266556547153680328125/165777947457789051 |
j-invariant |
L |
8.9885993786891 |
L(r)(E,1)/r! |
Ω |
0.095065650040474 |
Real period |
R |
7.8792912968122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39039y2 117117z2 |
Quadratic twists by: -3 13 |