Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53176a |
Isogeny class |
Conductor |
53176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-568488025088 = -1 · 210 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1445,29478] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1248:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
2.4464789742061 |
L(r)(E,1)/r! |
Ω |
0.63009532811167 |
Real period |
R |
3.8827124483771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106352c1 184c1 |
Quadratic twists by: -4 17 |