as your jee main percitile i would like to prefer some top college in banglore go through the link below

https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-bangalore-accepting-jee-main-score

go throgh below link and predict your rank :

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Unfortunately with 71 percentile you have not cleared JEE Mains 2019 cutoff if you are of general category you won't be able to register yourself for JoSAA counselling 2019. But still you have many options as there are many private colleges. You can predict your college with careers360 college predictor on the basis of your rank in JEE Mains.

https://engineering.careers360.com/jee-main-college-predictor