Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600ca |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
458640000000 = 210 · 32 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408,-109312] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1200:1] |
Generators of the group modulo torsion |
j |
592143556/28665 |
j-invariant |
L |
7.1138057512629 |
L(r)(E,1)/r! |
Ω |
0.58766917058952 |
Real period |
R |
1.5131399832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200n1 10920d1 |
Quadratic twists by: -4 5 |