Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bk |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
66031544250 = 2 · 312 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2588,49781] |
[a1,a2,a3,a4,a6] |
j |
2628643361401/90578250 |
j-invariant |
L |
2.1884896579186 |
L(r)(E,1)/r! |
Ω |
1.094244829058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910u1 |
Quadratic twists by: -3 |