Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bk |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9581468292747E+33 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45752732364,2709481929929840] |
[a1,a2,a3,a4,a6] |
Generators |
[6773464141173702749278621970265676912410187828779367023292540191089236568567240491951597268115252452282930310040:-1263241094315748573085768379055627627643006038104659857569171385001064941872058947305468096612784944259869759437780:34357765798806324373644451260052810752397533105018303844751390849213726837542921165085032723648962607357799] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
9.3170304779964 |
L(r)(E,1)/r! |
Ω |
0.013293117434569 |
Real period |
R |
175.22282722349 |
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 |
116928er3 3654g3 38976d3 |
Quadratic twists by: -4 8 -3 |