Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454i |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.3721331701601E+19 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-293791,-242237646] |
[a1,a2,a3,a4,a6] |
Generators |
[4044508796:385470540609:438976] |
Generators of the group modulo torsion |
j |
-13082645343625/110661763072 |
j-invariant |
L |
3.2125248249308 |
L(r)(E,1)/r! |
Ω |
0.090061672370543 |
Real period |
R |
17.835138634306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69454s2 |
Quadratic twists by: -11 |