Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dt |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0393796238036E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20168643,-60177994558] |
[a1,a2,a3,a4,a6] |
Generators |
[39791:-7882850:1] |
Generators of the group modulo torsion |
j |
-128864147651/147622500 |
j-invariant |
L |
4.5613373621787 |
L(r)(E,1)/r! |
Ω |
0.034105130407033 |
Real period |
R |
8.3589648159571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890j2 29040cl2 87120dr2 |
Quadratic twists by: -4 -3 -11 |