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 |
Δ |
7.6070257679636E+24 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-661392534,-6545575218735] |
[a1,a2,a3,a4,a6] |
Generators |
[226845840658:12424642486601:7301384] |
Generators of the group modulo torsion |
j |
1692182489450708992/402309703341 |
j-invariant |
L |
3.5608266557288 |
L(r)(E,1)/r! |
Ω |
0.029770829032783 |
Real period |
R |
14.950988817811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033s2 99099bz2 |
Quadratic twists by: -3 -11 |