Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
53600g |
Isogeny class |
Conductor |
53600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2680000000 = -1 · 29 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -5 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-2488] |
[a1,a2,a3,a4,a6] |
j |
-8/335 |
j-invariant |
L |
2.6263165805993 |
L(r)(E,1)/r! |
Ω |
0.6565791459818 |
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 |
53600d1 107200cf1 10720a1 |
Quadratic twists by: -4 8 5 |