Atkin-Lehner |
2+ 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990h |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-125274093750 = -1 · 2 · 38 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6795,217971] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-84:1] |
Generators of the group modulo torsion |
j |
-47599294745521/171843750 |
j-invariant |
L |
4.1047924260934 |
L(r)(E,1)/r! |
Ω |
1.0487689052502 |
Real period |
R |
0.97847876819113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18330be1 |
Quadratic twists by: -3 |