Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112a |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1450957547728 = 24 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 6 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2890,14739] |
[a1,a2,a3,a4,a6] |
Generators |
[8934860:79251603:85184] |
Generators of the group modulo torsion |
j |
6912000/3757 |
j-invariant |
L |
6.0480837708372 |
L(r)(E,1)/r! |
Ω |
0.74212542657591 |
Real period |
R |
8.1496786855107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056f1 3536b1 |
Quadratic twists by: -4 17 |