Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bj |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-1.1611325158645E+21 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2049135,-1188741722] |
[a1,a2,a3,a4,a6] |
j |
736803680768000/899079608427 |
j-invariant |
L |
0.9922920742596 |
L(r)(E,1)/r! |
Ω |
0.082691012733161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033j1 9009m1 |
Quadratic twists by: -3 -11 |