Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586u |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-99628215367842 = -1 · 2 · 32 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20483,1217747] |
[a1,a2,a3,a4,a6] |
Generators |
[230:6349:8] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
5.0120540082583 |
L(r)(E,1)/r! |
Ω |
0.58318922040647 |
Real period |
R |
4.2971078964431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688dc4 16758g4 114a4 106134bc4 |
Quadratic twists by: -4 -3 -7 -19 |