Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cw |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24713262080 = 210 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1352,-17576] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:944:27] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
3.7271242141406 |
L(r)(E,1)/r! |
Ω |
0.79188001324431 |
Real period |
R |
4.7066779712255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080bf1 13520a1 320a1 |
Quadratic twists by: -4 8 13 |