Atkin-Lehner |
2- 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bm |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-727882767627716952 = -1 · 23 · 34 · 199 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,216773,13278377] |
[a1,a2,a3,a4,a6] |
j |
3491055413/2255688 |
j-invariant |
L |
8.5428696068241 |
L(r)(E,1)/r! |
Ω |
0.1779764718524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127794b2 |
Quadratic twists by: -19 |