Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470m |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1308333768579E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1060098303,-13285264645802] |
[a1,a2,a3,a4,a6] |
Generators |
[-187082254029996:93480531259355:9952248951] |
Generators of the group modulo torsion |
j |
262147686417280027/22500 |
j-invariant |
L |
4.0100526969189 |
L(r)(E,1)/r! |
Ω |
0.026458366007687 |
Real period |
R |
18.945107455956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55470r2 |
Quadratic twists by: -43 |