While I heartily disapprove of such a long and minimal portamento, my recommendation is to use microtonal notation. First measure E, second measure E+1/8, third measure E + 1/4 or E+3/8, fourth measure F .
One such set of symbols:

edit:
As Creynders pointed out, I was misusing 'portamento'. Referring again to the Dolmetsch online dictionary,
Glissando
also glissato, glissicando or glissicato, a continuous slide in pitch.
On the violin, the left hand finger is placed on the string and then,
as the note is played, the finger slides up or down the finger board.
The beginning and end note of the glissando are written and connected
by either a straight or a wavy line. Usually the word gliss. or
glissando will be written above. This is what some writers call 'a
true glissando' on the piano, to run the nail or a finger or the back
of the thumb along the keyboard over many notes, see glissant,
glisser. This is what some writers call 'an effective glissando', in
that the change in pitch is by discrete steps rather than through a
continuous and steady shift.
portamento
on stringed instruments, an expressive device, a slide from one pitch
to another, usually stopping for moment either above or below the
destination pitch, which was very popular in the 19th- and early
20th-centuries, but has more recently fallen into disuse. a smooth
glide between the two notes, including all the pitches in between. For
some instruments, like violin and trombone, this includes even the
pitches in between the written notes. For other instruments, such as
guitar, it means sliding through all of the possible notes between the
two written pitches. Although unusual in traditional common notation,
a type of portamento that includes only one written pitch can be found
in some styles of music, notably jazz, blues, and rock. The proper
performance of scoops and fall-offs (the latter also called drops or
spills) requires that the portamento begins (in scoops) or ends (in
fall-offs, drops or spills) with the slide itself, rather than with a
specific note.