Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5676d |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-204336 = -1 · 24 · 33 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-1048576/12771 |
j-invariant |
L |
4.5312442382672 |
L(r)(E,1)/r! |
Ω |
1.3515666957514 |
Real period |
R |
1.1175288284603 |
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 |
22704bc1 90816v1 17028l1 62436r1 |
Quadratic twists by: -4 8 -3 -11 |