Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586u |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
3862651968 = 26 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-393,-393] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:56:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
5.0120540082583 |
L(r)(E,1)/r! |
Ω |
1.1663784408129 |
Real period |
R |
0.71618464940719 |
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 |
44688dc1 16758g1 114a1 106134bc1 |
Quadratic twists by: -4 -3 -7 -19 |