Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586p |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-58581390636291096 = -1 · 23 · 33 · 78 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41725,-12101680] |
[a1,a2,a3,a4,a6] |
Generators |
[298:1247:1] |
Generators of the group modulo torsion |
j |
-1393520833033/10161910296 |
j-invariant |
L |
2.9019234454186 |
L(r)(E,1)/r! |
Ω |
0.14789062273058 |
Real period |
R |
0.36337207911558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688bp2 16758z2 5586e2 106134br2 |
Quadratic twists by: -4 -3 -7 -19 |