We present photometric and kinematic information obtained by measuring 197 planetary nebulae ( PNs ) discovered in the flattened Fornax elliptical galaxy NGC 1344 ( also known as NGC 1340 ) with an on-band , off-band , grism + on-band filter technique . We build the PN luminosity function ( PNLF ) and use it to derive a distance modulus m - M = 31.4 \pm 0.18 , slightly smaller than , but in good agreement with , the surface brightness fluctuation distance . The PNLF also provides an estimate of the specific PN formation rate : ( 6 \pm 3 ) \times 10 ^ { -12 } PNs per year per solar luminosity . Combining the positional information from the on-band image with PN positions measured on the grism + on-band image , we can measure the radial velocities of 195 PNs , some of them distant more than 3 effective radii from the center of NGC 1344 . We complement this data set with stellar kinematics derived from integrated spectra along the major and minor axes , and parallel to the major axis of NGC 1344 . The line-of-sight velocity dispersion profile indicates the presence of a dark matter halo around this galaxy .