Dockerfile

FROM amazonlinux:2

RUN yum -y update && \
    yum -y groupinstall -y 'Development Tools' && \
    yum -y install git zlib-devel perl-core

RUN git clone --depth=1 https://github.com/openssl/openssl && \
    (cd openssl && ./config no-shared --prefix=$(pwd)/usr && make install)


RUN git clone --depth=1 https://github.com/curl/curl && \
    (cd curl && autoreconf -if  && ./configure --enable-static --disable-shared --with-ssl=$(pwd)/../openssl/usr --prefix=$(pwd)/usr && make install)

RUN curl -LO https://old.mediaarea.net/download/binary/mediainfo/19.09/MediaInfo_CLI_19.09_GNU_FromSource.tar.xz && \
    tar -xf MediaInfo_CLI_19.09_GNU_FromSource.tar.xz && \
    (cd MediaInfo_CLI_GNU_FromSource && ./CLI_Compile.sh --enable-staticlibs --with-libcurl=$(pwd)/../curl/usr)

ENTRYPOINT ["./MediaInfo_CLI_GNU_FromSource/MediaInfo/Project/GNU/CLI/mediainfo"]

Note: In order to be able to make openssl I found I needed to also yum install perl-core as described at https://github.com/openssl/openssl/blob/master/NOTES-Perl.md

on Linux distributions based on RPMs, you will need to install perl-core rather than just perl.