Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fq |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
5139624960 = 210 · 310 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,-10024] |
[a1,a2,a3,a4,a6] |
Generators |
[86:740:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
6.8790702169327 |
L(r)(E,1)/r! |
Ω |
0.87209360314832 |
Real period |
R |
3.9439976351577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cy1 12240br1 16320bo1 |
Quadratic twists by: -4 8 -3 |