Ok I have found a solution. The problem is that the site uses SSLv3. And I know that there are some problems in the openssl module. Some time ago I had the same problem with the SSL versions.

<?php
function getSSLPage($url) {
    $ch = curl_init();
    curl_setopt($ch, CURLOPT_HEADER, false);
    curl_setopt($ch, CURLOPT_URL, $url);
    curl_setopt($ch, CURLOPT_SSLVERSION,3); 
    $result = curl_exec($ch);
    curl_close($ch);
    return $result;
}

var_dump(getSSLPage("https://eresearch.fidelity.com/eresearch/evaluate/analystsOpinionsReport.jhtml?symbols=api"));
?>

When you set the SSL Version with curl to v3 then it works.

Edit:

Another problem under Windows is that you don’t have access to the certificates. So put the root certificates directly to curl.

http://curl.haxx.se/docs/caextract.html

here you can download the root certificates.

curl_setopt($ch, CURLOPT_CAINFO, __DIR__ . "/certs/cacert.pem");
curl_setopt($ch, CURLOPT_SSL_VERIFYPEER, true);

Then you can use the CURLOPT_SSL_VERIFYPEER option with true otherwise you get an error.