Lapis lazuli is known for its intense blue color, and until a few hundred years ago, was used in paints and pigments. The high cost and rarity of the color led to it being called "royal blue" which helps explain why the stone is a symbol of prosperity.
The design on the Azure Emblem are scarabs, ram horns, and golden circles which depicts common symbols of wealth and longevity in Ancient Egypt, where lapis is known to have been used in jewelry and ornamentation.
The Azure Emblem's description mentions, "Sandara Desert". This is likely a reference to Sahara Desert, the world's hottest desert, and the third largest desert after Antarctica and the Arctic.
The Azure Emblem's description states, "golden ram horns symbolize prosperity, and the blue scarab represents longevity." This is likely a reference to the phrase "Live long and prosper," said often by the character Spock in Star Trek. The fact that Spock wore a blue shirt, and the use of the word "hails" (the word used when ships contacted one another on Star Trek) might also support this.