Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5936g |
Isogeny class |
Conductor |
5936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
41552 = 24 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-33] |
[a1,a2,a3,a4,a6] |
j |
55296000/2597 |
j-invariant |
L |
1.1320717935844 |
L(r)(E,1)/r! |
Ω |
2.2641435871688 |
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 |
1484c1 23744x1 53424bb1 41552w1 |
Quadratic twists by: -4 8 -3 -7 |