Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586j |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
491545880255556 = 22 · 310 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55934,-5002080] |
[a1,a2,a3,a4,a6] |
Generators |
[447:7494:1] |
Generators of the group modulo torsion |
j |
164503536215257/4178071044 |
j-invariant |
L |
2.7503315533901 |
L(r)(E,1)/r! |
Ω |
0.31092260177424 |
Real period |
R |
4.42285562017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44688cw2 16758bp2 798d2 106134da2 |
Quadratic twists by: -4 -3 -7 -19 |