What size filter fits on the Nikon UR-E8 lens adaptor for Nikon 5700?

According to the Nikon website, the UR-E8 "allows users to attach the
WC-E80 Wide Angle and TC-E15ED Tele Converter to the Coolpix 5700"
http://www.nikonusa.com/accessory/25504/splash.html?defaultpage=flash2%2Ehtml

According to their Coolpix accessories page, they have a 28mm filter
set for the 4500, and 46mm filter set for the 5000 (which requires the
UR-E5). They do not list a filter set for the 5700.
http://www.nikonusa.com/pdf/coolpixaccessories.pdf


Nikon USA sells a filter set and adapter rings for the Coolpix 5700:

This filter set consists of four 67mm filters: UV, Circular Polarizer,
Neutral Density 4 and Neutral Density 8. They come complete in a handy
filter wallet. These filters require the use of an adapter ring, see
below, for use with the Coolpix 5700.

67mm Filter Set (requires adapter ring)
Product #5596
MSRP US$119.95

67mm Adapter Ring - required for use of 67mm filters with Coolpix 5700
Product #5597
MSRP US$34.95
http://support.nikontech.com/cgi-bin/nikonusa.cfg/php/enduser/std_adp.php?p_sid=uc18CIRg&p_lva=&p_faqid=5368&p_created=1056503600&p_sp=cF9zcmNoPSZwX2dyaWRzb3J0PSZwX3Jvd19jbnQ9MTAwJnBfcHJvZF9sdmwxPTEmcF9wcm9kX2x2bDI9MiZwX2NhdF9sdmwxPX5hbnl_JnBfcGFnZT0x&p_li=