Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bn |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-10711093541750784 = -1 · 211 · 35 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39212,5804138] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1702:1] |
Generators of the group modulo torsion |
j |
-4027268071/6469632 |
j-invariant |
L |
7.5047381790872 |
L(r)(E,1)/r! |
Ω |
0.36338475394961 |
Real period |
R |
0.51630799706935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686p1 3822bh1 |
Quadratic twists by: -7 13 |