Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989s |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.0449093941125E+22 |
Discriminant |
Eigenvalues |
-2 3- -1 2 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59206207863,-5544967205179548] |
[a1,a2,a3,a4,a6] |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
0.96784904252788 |
L(r)(E,1)/r! |
Ω |
0.0096784930667967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663k2 9999h2 |
Quadratic twists by: -3 -11 |