"Source: Text/Geometry/Lseries.text";
"Line: 543";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Lseries.text, line: 543
// Example: H139E11 ()
print "Example: H139E11";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := PolynomialRing(Rationals());
C := HyperellipticCurve(x^5+1);
L := LSeries(C: Precision:=18);
LCfRequired(L);   // need this number of coefficients
Evaluate(L,1);  // L(C,1)
Sign(L); // sign in the functional equation
RankBound(Jacobian(C));  
assert $1 eq 0;
SetEchoInput(ei);
