Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dr |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-7994972160000 = -1 · 214 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21560,1218900] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-270:1] |
Generators of the group modulo torsion |
j |
-270601485933241/1951897500 |
j-invariant |
L |
6.8524066328323 |
L(r)(E,1)/r! |
Ω |
0.74242343852901 |
Real period |
R |
0.28843069354099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570h1 114240fi1 85680dm1 |
Quadratic twists by: -4 8 -3 |