Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960dx |
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] |
j |
-22864543488/7099285 |
j-invariant |
L |
2.0862490776472 |
L(r)(E,1)/r! |
Ω |
0.20862490783302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960z1 12240c1 48960dl1 |
Quadratic twists by: -4 8 -3 |