Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960z |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-143088872094720 = -1 · 210 · 39 · 5 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16092,973944] |
[a1,a2,a3,a4,a6] |
Generators |
[405:7803:1] |
Generators of the group modulo torsion |
j |
-22864543488/7099285 |
j-invariant |
L |
5.6350493067161 |
L(r)(E,1)/r! |
Ω |
0.54937307047377 |
Real period |
R |
1.025723612891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960dx1 6120p1 48960f1 |
Quadratic twists by: -4 8 -3 |