How do I login and download a file from a https web page from Java?

baseURL = // a https URL;
urlMap = new HashMap<String, URL>();
urlMap.put("login", new URL(baseURL, "exec.asp?login=username&pass=XPTO"));
urlMap.put("logout", new URL(baseURL, "exec.asp?exec.asp?page=999"));
urlMap.put("file", new URL(baseURL, "exec.asp?file=111"));

urlConnection = urlMap.get("login").openConnection();
urlConnection.connect();
BufferedReader in = new BufferedReader(
    new InputStreamReader(urlConnection.getInputStream()));
String inputLine;
while ((inputLine = in.readLine()) != null)
    System.out.println(inputLine);
in.close();

class MyCookieHandler extends CookieHandler {

    private Map<String, List<String>> cookies = new HashMap<String, List<String>>();

    @Override
    public Map<String, List<String>> get(URI uri,
            Map<String, List<String>> requestHeaders) throws IOException {
        String host = uri.getHost();
        Map<String, List<String>> ret = new HashMap<String, List<String>>();
        synchronized (cookies) {
            List<String> store = cookies.get(host);
            if (store != null) {
                store = Collections.unmodifiableList(store);
                ret.put("Cookie", store);
            }
        }

        return Collections.unmodifiableMap(ret);
    }

    @Override
    public void put(URI uri, Map<String, List<String>> responseHeaders)
            throws IOException {
        List<String> newCookies = responseHeaders.get("Set-Cookie");
        if (newCookies != null) {
            String host = uri.getHost();
            synchronized (cookies) {
                List<String> store = cookies.get(host);
                if (store == null) {
                    store = new ArrayList<String>();
                    cookies.put(host, store);
                }
                store.addAll(newCookies);
            }
        }
    }

}