Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bz |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
Δ |
5.5487256663669E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68536809,-186664896387] |
[a1,a2,a3,a4,a6] |
Generators |
[-6033:87909:1] |
Generators of the group modulo torsion |
j |
48839119790885613241346449/7611420667170009690000 |
j-invariant |
L |
5.5230055440338 |
L(r)(E,1)/r! |
Ω |
0.053021574631376 |
Real period |
R |
0.43402187236066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030bp2 |
Quadratic twists by: -3 |