Atkin-Lehner |
3- 7- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557n |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2736484836939 = 314 · 7 · 37 · 472 |
Discriminant |
Eigenvalues |
1 3- -2 7- 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11718,484645] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:731:1] |
Generators of the group modulo torsion |
j |
244105470437473/3753751491 |
j-invariant |
L |
8.6986294036991 |
L(r)(E,1)/r! |
Ω |
0.80927824743785 |
Real period |
R |
1.3435782858146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999816901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519e2 |
Quadratic twists by: -3 |