Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660o |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1306800 |
Modular degree for the optimal curve |
Δ |
-3851761142968750000 = -1 · 24 · 511 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86959,93878930] |
[a1,a2,a3,a4,a6] |
j |
21203173376/1123046875 |
j-invariant |
L |
5.0939005346723 |
L(r)(E,1)/r! |
Ω |
0.18866298272401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660p1 |
Quadratic twists by: -11 |