notorious = infamous; famous for something bad.

• A notorious criminal.
• The canal is notorious for its pollution.
• He is a notorious drinker and gambler.
• An area notorious for crime and violence.

notarial = related to the work of a Notary Public(= a type of lawyer who has the authority to see that documents are correctly signed or that they are true copies)

• The will was duly signed and witnessed, and bore a notarial seal.
• Notarial services.
• Notarial fees.
• Based on the records, two lawyers were suspended from the practice of law and notarial practice.