Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978m |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-54337640556276 = -1 · 22 · 36 · 77 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2376,352836] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-675:1] [-22:550:1] |
Generators of the group modulo torsion |
j |
12600539783/461862324 |
j-invariant |
L |
5.2223140485782 |
L(r)(E,1)/r! |
Ω |
0.47571988740203 |
Real period |
R |
0.22870225152756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854j1 |
Quadratic twists by: -7 |