Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989p |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.364500412183E+22 |
Discriminant |
Eigenvalues |
1 3- -2 -4 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6751278,-8783188155] |
[a1,a2,a3,a4,a6] |
j |
-26351059610839033/10565499454389 |
j-invariant |
L |
1.6532015824818 |
L(r)(E,1)/r! |
Ω |
0.045922257829056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36663i2 9999g2 |
Quadratic twists by: -3 -11 |