How to discontinue taking synthroid?

It's somewhat difficult to understand why would you have to "get yourself off" Synthroid, replacement hormonal therapy that was prescribed to you, without consulting with your doctor. Synthroid contains important thyroid hormone which is responsible for functioning of so many important processes in your body, including your metabolism. So, again, this is not something that you should do because what effect stopping will have in a great deal depends on why were you prescribed this medication in the first place.

Have you consulted with endocrinologist at any point? Because endocrinologist is the doctor who specialized in conditions that affect glands and hormones. That's more or less what I thought you might be experiencing because the most important thing with taking hormonal supplements is finding and adjusting the right dosage. So I know it's very likely that the dose you are on now is not right, but neurologist really isn't the specialist you need for this, you need an endocrinologist.