Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cy |
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] |
j |
112377856/6885 |
j-invariant |
L |
2.6795802609654 |
L(r)(E,1)/r! |
Ω |
1.3397901308725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fq1 3060i1 16320v1 |
Quadratic twists by: -4 8 -3 |