Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bv |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
13384440000 = 26 · 39 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5583,-160468] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1582:1] |
Generators of the group modulo torsion |
j |
412495384384/286875 |
j-invariant |
L |
5.8256594857607 |
L(r)(E,1)/r! |
Ω |
0.55233272811989 |
Real period |
R |
5.2736866649296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bx1 24480r4 16320k1 |
Quadratic twists by: -4 8 -3 |