The Four Jewels are jewels that allow it's owner to travel through a leap of time.
The Royal Jewel
The first jewel allows it's owner to travel from the era of Taskan I to the era of Taskan II. It was kept in the Fortress until it was stolen by The Monastery. It was left into the care of Mhasse the Guardian, until Hype defeated him and reclaimed the jewel. Using the help of Zatila, Hype was able to gather 40 Energia Prismas to power up the jewel, also increasing the power of Hype's sword.
"It is a symbol of the power of man."
Jewel of Mankind
The second jewel allows it's owner to travel from the era of Taskan II to the era of Taskan III. It was kept in the Field of Courage along the Mythical Armour. It was guarded by the Three-headed Dragon, but Hype defeated him and reclaimed the treasure. Again, only with Zatila, Hype was able to charge the jewel with energy from the sky by gathering 50 Energia Prismas, more energy than it was required for the Royal Jewel. Again, it increased the power of the Sword of Peace.
"It is a symbol of all that man is."
Jewel of Virtue
The third jewel allows it's owner to travel from the era of Taskan III to the era of Taskan IV. It was kept into the Lost City and protected by Dark Hype. With Zatila, Hype was able to charge the jewel using 60 Energy Prismas from the sky.
Jewel of the Gods
The fourth jewel is the ultimate jewel which Barnak stole from the gods. Even so, Drareg was able to give Hype the same jewel to confront Barnak on equal terms. It was charged using 70 Energia Prismas from the sky.