Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150ce |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-8.4416582187169E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2082274388,-36573401650219] |
[a1,a2,a3,a4,a6] |
Generators |
[457245273277950942279032372183977673055342749130092056186762341205532837540988086693173:78028397715473665660507763409721526852988762005533020771924221792964426426030359302296481:6734671353853209450981186016047108926396065385168908436359798273667688969887637737] |
Generators of the group modulo torsion |
j |
-204387135752425/1728 |
j-invariant |
L |
9.1202138939964 |
L(r)(E,1)/r! |
Ω |
0.011174679331212 |
Real period |
R |
136.02499042221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150br2 126150x2 |
Quadratic twists by: 5 29 |