Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576ct |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
188863488 = 210 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,2821] |
[a1,a2,a3,a4,a6] |
j |
5619712000/184437 |
j-invariant |
L |
1.7839669468662 |
L(r)(E,1)/r! |
Ω |
1.7839669477981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576x1 12144be1 |
Quadratic twists by: -4 8 |