Atkin-Lehner |
2+ 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990b |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
125073655200000 = 28 · 39 · 55 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80745,-8794675] |
[a1,a2,a3,a4,a6] |
j |
2957892333328323/6354400000 |
j-invariant |
L |
0.56650852065298 |
L(r)(E,1)/r! |
Ω |
0.28325425889362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990be1 |
Quadratic twists by: -3 |