Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888f |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
632355268608 = 211 · 312 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25032,-1532268] |
[a1,a2,a3,a4,a6] |
j |
847027985875346/308767221 |
j-invariant |
L |
4.5547544456017 |
L(r)(E,1)/r! |
Ω |
0.3795628704668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13944d3 111552cg4 83664q4 |
Quadratic twists by: -4 8 -3 |