Hi Sumana,
Hypothyroidism is the condition in which, there will be inadequate production of the thyroid hormone that leads to various metabolic disorders including unwanted and undefined weight gain and lethargy. Moderate impact aerobic exercises,low calorie diet, swimming, Yoga and Pranayama are most effective tools that can help you to achieve your goal.
Regular walking - 4 Km a day for 5 days a week is also a good workout, may be your body has got adapted to it. I will suggest you to progress from walking to jogging.Also you can go for some other activity like skipping, stair climbing, swimming etc.
Also do some pranayama (breathing exercises) and Yogasanas like Sarvangasana (Shoulder Stand),Dhanurasana (Bow Pose) Sashankasana (Rabbit Pose) Matsyasana (Fish Pose) ,Simhasana (Lion Pose),Ustrasana (Camel Pose) etc. which can activate your hypoactive gland,thereby helping to regulate thyroid functioning.