Atkin-Lehner |
5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55055q |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5642421785 = 5 · 72 · 116 · 13 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8069,-276952] |
[a1,a2,a3,a4,a6] |
j |
32798729601/3185 |
j-invariant |
L |
2.014905229999 |
L(r)(E,1)/r! |
Ω |
0.50372630823864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
455b1 |
Quadratic twists by: -11 |