Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bz |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
843026984064000 = 210 · 318 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34248,-1999928] |
[a1,a2,a3,a4,a6] |
Generators |
[642:15512:1] |
Generators of the group modulo torsion |
j |
5951163357184/1129312125 |
j-invariant |
L |
4.210099342235 |
L(r)(E,1)/r! |
Ω |
0.35556333810679 |
Real period |
R |
5.920322613492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960er1 6120m1 16320bh1 |
Quadratic twists by: -4 8 -3 |