Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cf |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117456998400 = 212 · 34 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1776,-23040] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:72:1] [-16:32:1] |
Generators of the group modulo torsion |
j |
151334226289/28676025 |
j-invariant |
L |
6.5489896644901 |
L(r)(E,1)/r! |
Ω |
0.74504947656422 |
Real period |
R |
2.1975015990516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785k2 114240jq2 85680fi2 |
Quadratic twists by: -4 8 -3 |