Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450c |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.6944728227773E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5545555275,-158981090551875] |
[a1,a2,a3,a4,a6] |
Generators |
[146428846554999887319952276808196322438451015829858888873960829701650:44663156056894433810008050692577927669108118766119804965222227551627175:1040273114473505321946589577063270922459163755274545446101206083] |
Generators of the group modulo torsion |
j |
-1207087636168285491836819264689/236446260657750000000000 |
j-invariant |
L |
3.6918843953729 |
L(r)(E,1)/r! |
Ω |
0.0087473840772974 |
Real period |
R |
105.51395602243 |
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 |
64350ej3 4290y3 |
Quadratic twists by: -3 5 |