Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560q |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2028000000 = -1 · 28 · 3 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4281,106419] |
[a1,a2,a3,a4,a6] |
j |
-200601496576/46875 |
j-invariant |
L |
2.8686279478085 |
L(r)(E,1)/r! |
Ω |
1.434313973913 |
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 |
20280o1 121680bj1 40560ba1 |
Quadratic twists by: -4 -3 13 |