Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bf |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
197225000000 = 26 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1630,13997] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:125:1] |
Generators of the group modulo torsion |
j |
89314623/36800 |
j-invariant |
L |
8.4689619484665 |
L(r)(E,1)/r! |
Ω |
0.91066694660176 |
Real period |
R |
0.7749779781374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270d1 56350bg1 |
Quadratic twists by: 5 -7 |