The TA-2 has a 50W RMS/channel amplifier into 8Ω, and somewhat higher into lower Ω. The sensitivity of the Elac DBR62 is a modest 86dB, and its impedance is stated to be 6Ω nominal. I would think the TA-2 would have no issues driving that speaker in most settings. The quality of the power out of the TA-2 is also very high, in part due to the Stasis design. So unless you like to listen at very high volume and are playing them in a very large room, all should be fine.
In any case, I'd suggest upgrading your speakers and see how things sound to you. You always have the option to add a more powerful external amp if you are unsatisfied.
One weakness of the TA-2A design is the use of spring clamps for speaker terminals. Be sure to make good connections back there. Your speaker wires should be soft copper (wires with very fine strands seem to be the softest) so it will clamp well under the spring tension. A few times a year, I would recommend treating the wire ends where they enter the terminals with a little Deoxit D5 (or the like) and then wiggle the wires a bit, to keep the connection in good shape. If the end strands of the wires where they enter the terminals seem to become stiff after a while (work-hardening can occur if they are flexed a lot) or tarnished, just clip off an inch or so and reattach.
