Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064l |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-171059126832 = -1 · 24 · 39 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,486,-19467] |
[a1,a2,a3,a4,a6] |
j |
40310784/543169 |
j-invariant |
L |
1.9943494092543 |
L(r)(E,1)/r! |
Ω |
0.49858735237248 |
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 |
106128e1 53064b1 |
Quadratic twists by: -4 -3 |