Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560co |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3.042427142914E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1855000,2468594352] |
[a1,a2,a3,a4,a6] |
Generators |
[-716:27800:1] |
Generators of the group modulo torsion |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
5.0261683191681 |
L(r)(E,1)/r! |
Ω |
0.10179593305684 |
Real period |
R |
4.1145785234545 |
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 |
1785n1 114240id1 85680dx1 |
Quadratic twists by: -4 8 -3 |