Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.5125003182619E+29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35548159663,-2579584499905382] |
[a1,a2,a3,a4,a6] |
Generators |
[212423961545948774252502385078745881637781569621499878073064834498867898170704931369847596129983688474706116769353030938072012:-42618322912624775052050683893468100618833828358800106205326995943830062004091717424070926347319494597984738579084028053428963811:898237274264744641733686427137208762470175010318413830555558318277683312437934738126798327387796670545427608368497479616] |
Generators of the group modulo torsion |
j |
1029235991360334641297227719361/72770650718971467351375 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.010995047669426 |
Real period |
R |
194.32260603892 |
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 |
83655bf8 2145e7 |
Quadratic twists by: -3 13 |