Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984o |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.5210080511036E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10366515,12525635826] |
[a1,a2,a3,a4,a6] |
Generators |
[-1065:149526:1] |
Generators of the group modulo torsion |
j |
1528166985605107875/43673276747776 |
j-invariant |
L |
6.3415714278949 |
L(r)(E,1)/r! |
Ω |
0.14006181032818 |
Real period |
R |
3.7730790718861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10998b4 87984u2 |
Quadratic twists by: -4 -3 |