Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850k |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.2500813728452E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-574893792000,-167784749449200000] |
[a1,a2,a3,a4,a6] |
Generators |
[4694190476914308054468508149445214820067084145573472084573281890174835003313566231548448197763488263854770465635016675:-7219016240024027886563897162775804851015592057855695122462503280252717849377867730633392195728659880893232630104257938025:1799555088509773524098127357038318614777590707943857262138004562455818981912543930916099661525443456013054932871] |
Generators of the group modulo torsion |
j |
-1344827381182387244991832098902814721/80005207862091269531250000000 |
j-invariant |
L |
3.8964000928146 |
L(r)(E,1)/r! |
Ω |
0.0027413917668767 |
Real period |
R |
177.6652346763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370x5 |
Quadratic twists by: 5 |