Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bd |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.0467596623325E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11807904,15612638580] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:126360:1] |
Generators of the group modulo torsion |
j |
9357915116017/538002 |
j-invariant |
L |
7.1936934569768 |
L(r)(E,1)/r! |
Ω |
0.21610002885729 |
Real period |
R |
4.1610900594788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002123 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10086n3 1968i3 |
Quadratic twists by: -4 41 |