The default directory authorities are located (as of version **0.2.8.0-alpha-dev (git-d015c70a118e4357)**) in file **or/config.c**:

    /** List of default directory authorities */
    
    static const char *default_authorities[] = {
      "moria1 orport=9101 "
        "v3ident=D586D18309DED4CD6D57C18FDB97EFA96D330566 "
        "128.31.0.39:9131 9695 DFC3 5FFE B861 329B 9F1A B04C 4639 7020 CE31",
      "tor26 orport=443 "
        "v3ident=14C131DFC5C6F93646BE72FA1401C02A8DF2E8B4 "
        "86.59.21.38:80 847B 1F85 0344 D787 6491 A548 92F9 0493 4E4E B85D",
      "dizum orport=443 "
        "v3ident=E8A9C45EDE6D711294FADF8E7951F4DE6CA56B58 "
        "194.109.206.212:80 7EA6 EAD6 FD83 083C 538F 4403 8BBF A077 587D D755",
      "Tonga orport=443 bridge "
        "82.94.251.203:80 4A0C CD2D DC79 9508 3D73 F5D6 6710 0C8A 5831 F16D",
      "gabelmoo orport=443 "
        "v3ident=ED03BB616EB2F60BEC80151114BB25CEF515B226 "
        "131.188.40.189:80 F204 4413 DAC2 E02E 3D6B CF47 35A1 9BCA 1DE9 7281",
      "dannenberg orport=443 "
        "v3ident=585769C78764D58426B8B52B6651A5A71137189A "
        "193.23.244.244:80 7BE6 83E6 5D48 1413 21C5 ED92 F075 C553 64AC 7123",
      "urras orport=80 "
        "v3ident=80550987E1D626E3EBA5E5E75A458DE0626D088C "
        "208.83.223.34:443 0AD3 FA88 4D18 F89E EA2D 89C0 1937 9E0E 7FD9 4417",
      "maatuska orport=80 "
        "v3ident=49015F787433103580E3B66A1707A00E60F2D15B "
        "171.25.193.9:443 BD6A 8292 55CB 08E6 6FBE 7D37 4836 3586 E46B 3810",
      "Faravahar orport=443 "
        "v3ident=EFCBE720AB3A82B99F9E953CD5BF50F7EEFC7B97 "
        "154.35.175.225:80 CF6D 0AAF B385 BE71 B8E1 11FC 5CFF 4B47 9237 33BC",
      "longclaw orport=443 "
        "v3ident=23D15D965BC35114467363C165C4F724B64B4F66 "
        "199.254.238.52:80 74A9 1064 6BCE EFBC D2E8 74FC 1DC9 9743 0F96 8145",
      NULL
    };

The bandwidths are computed by downloading files through a relay and sending them to the directory authorities. The data is computed so that information about how the relay can be used within the network becomes available to the remainder of the nodes. 

I am still looking into the exact details of what files and from where are they being downloaded.