Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18880j |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4949278720000 = -1 · 227 · 54 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -5 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22401,-1302401] |
[a1,a2,a3,a4,a6] |
j |
-4742478770401/18880000 |
j-invariant |
L |
0.78029281341166 |
L(r)(E,1)/r! |
Ω |
0.19507320335291 |
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 |
18880d1 4720f1 94400ca1 |
Quadratic twists by: -4 8 5 |