Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280p |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
461824 |
Modular degree for the optimal curve |
Δ |
-1842400000000000 = -1 · 214 · 511 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29435,-687837] |
[a1,a2,a3,a4,a6] |
Generators |
[46:875:1] |
Generators of the group modulo torsion |
j |
172139738479616/112451171875 |
j-invariant |
L |
4.5007564319694 |
L(r)(E,1)/r! |
Ω |
0.26789072898361 |
Real period |
R |
0.76366897363095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105280bj1 13160b1 |
Quadratic twists by: -4 8 |