First sentence from https://en.wikipedia.org/wiki/Liberalism :

Liberalism is a political and moral philosophy based on the rights of the individual, liberty, consent of the governed, political equality, the right to private property and equality before the law.

Second paragraph from https://en.wikipedia.org/wiki/Private_property :

Private property is foundational to capitalism, an economic system based on the private ownership of the means of production and their operation for profit. As a legal concept, private property is defined and enforced by a country's political system.

This is in stark contrast to the first sentence from https://en.wikipedia.org/wiki/Socialism :

Socialism is an economic and political philosophy encompassing diverse economic and social systems characterised by social ownership of the means of production, as opposed to private ownership.

What you call “liberal” and what you call “conservative” are both liberal.