Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586h |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-29287963579908096 = -1 · 221 · 37 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 3 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,65313,-5122683] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1536:1] |
Generators of the group modulo torsion |
j |
628805222251722551/597713542447104 |
j-invariant |
L |
2.8599950498506 |
L(r)(E,1)/r! |
Ω |
0.20359010846293 |
Real period |
R |
3.5119523628176 |
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 |
44688cq1 16758bn1 5586m1 106134cs1 |
Quadratic twists by: -4 -3 -7 -19 |