Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490r |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.0579780591766E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10551960,-12463553984] |
[a1,a2,a3,a4,a6] |
Generators |
[-662032:-8807224:343] |
Generators of the group modulo torsion |
j |
200828550012481/12454560000 |
j-invariant |
L |
3.0330747715937 |
L(r)(E,1)/r! |
Ω |
0.084091039846158 |
Real period |
R |
9.0172353119686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865151 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28830bd2 2790g2 |
Quadratic twists by: -3 -31 |