Atkin-Lehner |
2- 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dn |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.4058952790953E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1048063,-393817539] |
[a1,a2,a3,a4,a6] |
Generators |
[611:21474:1] |
Generators of the group modulo torsion |
j |
174646038940465958711/192852576007591500 |
j-invariant |
L |
10.648465712164 |
L(r)(E,1)/r! |
Ω |
0.099285774423601 |
Real period |
R |
1.1171944659936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030a3 |
Quadratic twists by: -3 |