Use a subquery, or a CTE like this:
WITH CTE
AS
(
SELECT
Name,
COUNT(*) Qty,
Points = CASE Name
WHEN 'Altruist' THEN 5
WHEN 'Analytical' THEN 5
WHEN 'Announcer' THEN 5
WHEN 'Autobiographer' THEN 5
WHEN 'Benefactor' THEN 5
WHEN 'Caucus' THEN 5
WHEN 'Citizen Patrol' THEN 5
WHEN 'Cleanup' THEN 5
WHEN 'Commentator' THEN 5
WHEN 'Critic' THEN 5
WHEN 'Custodian' THEN 5
WHEN 'Disciplined' THEN 5
WHEN 'Editor' THEN 5
WHEN 'Excavator' THEN 5
WHEN 'Informed' THEN 5
WHEN 'Investor' THEN 5
WHEN 'Mortarboard' THEN 5
WHEN 'Nice Answer' THEN 5
WHEN 'Nice Question' THEN 5
WHEN 'Organizer' THEN 5
WHEN 'Peer Pressure' THEN 5
WHEN 'Popular Question' THEN 5
WHEN 'Precognitive' THEN 5
WHEN 'Promotor' THEN 5
WHEN 'Proofreader' THEN 5
WHEN 'Quorum' THEN 5
WHEN 'Revival' THEN 5
WHEN 'Scholar' THEN 5
WHEN 'Self-Learner' THEN 5
WHEN 'Student' THEN 5
WHEN 'Suffrage' THEN 5
WHEN 'Supporter' THEN 5
WHEN 'Synonymizer' THEN 5
WHEN 'Tag Editor' THEN 5
WHEN 'Talkative' THEN 5
WHEN 'Teacher' THEN 5
WHEN 'Tumbleweed' THEN 5
WHEN 'Vox Populi' THEN 5
WHEN 'Archaeologist' THEN 10
WHEN 'Beta' THEN 10
WHEN 'Booster' THEN 10
WHEN 'Civic Duty' THEN 10
WHEN 'Constituent' THEN 10
WHEN 'Convention' THEN 10
WHEN 'Deputy' THEN 10
WHEN 'Enlightened' THEN 10
WHEN 'Enthusiast' THEN 10
WHEN 'Epic' THEN 10
WHEN 'Favorite Question' THEN 10
WHEN 'Generalist' THEN 10
WHEN 'Good Answer' THEN 10
WHEN 'Good Question' THEN 10
WHEN 'Guru' THEN 10
WHEN 'Necromancer' THEN 10
WHEN 'Notable Question' THEN 10
WHEN 'Outspoken' THEN 10
WHEN 'Pundit' THEN 10
WHEN 'Research Assistant' THEN 10
WHEN 'Reviewer' THEN 10
WHEN 'Sportsmanship' THEN 10
WHEN 'Strunk & White' THEN 10
WHEN 'Taxonomist' THEN 10
WHEN 'Tenacious' THEN 10
WHEN 'Yearling' THEN 10
WHEN 'Copy Editor' THEN 20
WHEN 'Electorate' THEN 20
WHEN 'Famous Question' THEN 20
WHEN 'Fanatic' THEN 20
WHEN 'Great Answer' THEN 20
WHEN 'Great Question' THEN 20
WHEN 'Legendary' THEN 20
WHEN 'Marshal' THEN 20
WHEN 'Populist' THEN 20
WHEN 'Publicist' THEN 20
WHEN 'Reversal' THEN 20
WHEN 'Stellar Question' THEN 20
WHEN 'Steward' THEN 20
WHEN 'Unsung Hero' THEN 20
ELSE 0
END
FROM Badges
WHERE UserId = 1563422
GROUP BY Name
)
SELECT *, QTY * Points AS Total
FROM CTE;