Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084j |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
771098330122116048 = 24 · 312 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291697,43400468] |
[a1,a2,a3,a4,a6] |
Generators |
[-1238:73695:8] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
8.3013402371399 |
L(r)(E,1)/r! |
Ω |
0.26432470273526 |
Real period |
R |
2.6171536218016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652a1 |
Quadratic twists by: 17 |