Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099r |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
3.2096519842062E+23 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20995194,25061589000] |
[a1,a2,a3,a4,a6] |
Generators |
[184018:27379049:8] |
Generators of the group modulo torsion |
j |
54128875896832/16974756981 |
j-invariant |
L |
3.5608266557288 |
L(r)(E,1)/r! |
Ω |
0.089312487098348 |
Real period |
R |
4.9836629678619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999426296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033s1 99099bz1 |
Quadratic twists by: -3 -11 |