Amalek is being cold, dispassionate, distant, aloof. אשרר קרך בדרך - They "cooled you off" on the path.
The Jews, Yisrael, are on fire, heated up, passionate.
Take the word ישראל and remove the א and ש [the אש - fire] you are left with י ר and ל which is EXACTLY the gematria of עמלק [two hundred and forty]!!