#include <bits/stdc++.h>
using namespace std;
#define rep(i, n)  for(long long i=0;i<(long long)(n);i++)
#define REP(i,k,n) for(long long i=k;i<(long long)(n);i++)
#define all(a) a.begin(),a.end()
#define pb emplace_back
#define eb emplace_back
#define lb(v,k) (lower_bound(all(v),k)-v.begin())
#define ub(v,k) (upper_bound(all(v),k)-v.begin())
#define fi first
#define se second
#define pi M_PI
#define PQ(T) priority_queue<T>
#define SPQ(T) priority_queue<T,vector<T>,greater<T>>
#define dame(a) {out(a);return 0;}
#define decimal cout<<fixed<<setprecision(15);
#define dupli(a) a.erase(unique(all(a)),a.end())
typedef long long ll;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> PP;
typedef tuple<ll,ll,ll,ll> PPP;
typedef multiset<ll> S;
using vi=vector<ll>;
using vvi=vector<vi>;
using vvvi=vector<vvi>;
using vvvvi=vector<vvvi>;
using vp=vector<P>;
using vvp=vector<vp>;
using vb=vector<bool>;
using vvb=vector<vb>;
const ll inf=1001001001001001001;
const ll INF=1001001001;
const ll mod=1000000007;
const double eps=1e-10;
template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;}
template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;}
template<class T> void out(T a){cout<<a<<'\n';}
template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';}
template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';}
template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);}
template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}
template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);}
template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);}
template<class T> void yesno(T b){if(b)out("yes");else out("no");}
template<class T> void YesNo(T b){if(b)out("Yes");else out("No");}
template<class T> void YESNO(T b){if(b)out("YES");else out("NO");}
template<class T> void noyes(T b){if(b)out("no");else out("yes");}
template<class T> void NoYes(T b){if(b)out("No");else out("Yes");}
template<class T> void NOYES(T b){if(b)out("NO");else out("YES");}
void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);}
ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);}
ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;}

vvp g;
vb used;
vi group;
ll ans=1;
void scan(int i){
    used[i]=true;
    group.pb(i);
    for(auto x:g[i])if(!used[x.fi])scan(x.fi);
}
ll c,ce;
vi gv,ge,lk,ord;
vb back_edge;
void dfs(int i,int p,int e){
    for(auto x:g[i]){
        if(x.fi!=p){
            if(ord[x.fi]==-1){
                ord[x.fi]=c++;
                dfs(x.fi,i,x.se);
                chmin(lk[i],lk[x.fi]);
            }
            else{
                chmin(lk[i],ord[x.fi]);
                back_edge[x.se]=true;
            }
        }
    }
}
void dfs1(int i,int p,int e){
    vp dl;
    for(auto x:g[i]){
        if(!back_edge[x.se]&&x.fi!=p){
            if(p!=-1){
                if(lk[x.fi]>=ord[i]){
                    gv[i]=-1;
                    ge[x.se]=ce++;
                    // cout<<i<<' '<<x.se<<' '<<ge[x.se]<<endl;
                }
                else ge[x.se]=ge[e];
                dfs1(x.fi,i,x.se);
            }
            else dl.pb(x);
        }
        else if(x.fi!=p&&ord[x.fi]<ord[i])ge[x.se]=ge[e];
    }
    if(p==-1){
        for(auto x:dl){
            ge[x.se]=ce++;
            dfs1(x.fi,i,x.se);
        }
        if(dl.size()==1)gv[i]=0;
        else gv[i]=-1;
    }
    else if(gv[i]==-2)gv[i]=ge[e];
}
vi f,sz,par;
vvi edge;
ll getsz(int i,int p){
    par[i]=p;
    if(i>=ce)sz[i]=1;
    else sz[i]=f[i];
    for(ll x:edge[i])if(x!=p){
        sz[i]+=getsz(x,i);
    }
    return sz[i];
}
vi fac,finv,inv;
void init(ll n){
    n*=3;
    fac=vi(n+5);finv=vi(n+5);inv=vi(n+5);
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    REP(i,2,n+5){
        fac[i]=fac[i-1]*i%mod;
        inv[i]=mod-inv[mod%i]*(mod/i)%mod;
        finv[i]=finv[i-1]*inv[i]%mod;
    }
}
long long modcom(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}
int main(){
    ll n,m,k;cin>>n>>m>>k;
    g=vvp(n);
    used=vb(n,false);
    rep(i,m){
        ll a,b;cin>>a>>b;a--;b--;
        g[a].pb(b,i);g[b].pb(a,i);
    }
    lk=vi(n,inf);
    gv=vi(n,-2);
    ge=vi(m);
    back_edge=vb(m,false);
    ord=vi(n,-1);
    init(m+k);
    rep(i,n){
        if(used[i])continue;
        group=vi(0);
        scan(i);
        ord[i]=0;
        c=1;
        ce=0;
        dfs(i,-1,-1);
        dfs1(i,-1,-1);
        rep(t,ce){
            P cnt=P(0,0);
            for(ll x:group){
                bool use=false;
                for(auto to:g[x]){
                    if(ge[to.se]==t){
                        use=true;
                        cnt.se++;
                    }
                }
                if(use)cnt.fi++;
            }
            ll res=0;
            cnt.se/=2;
            if(cnt.se==1)res=k;
            else if(cnt.fi==cnt.se){
                rep(j,cnt.fi){
                    res+=modpow(k,gcd(cnt.fi,j+1));
                    res%=mod;
                }
                res=res*modpow(cnt.fi,mod-2)%mod;
            }
            else res=modcom(cnt.se+k-1,k-1);
            ans=ans*res%mod;
        }
    }
    out(ans);
}

Measured memory_bytes: 3648