Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2166d |
Isogeny class |
Conductor |
2166 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12678161875854336 = 210 · 36 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1975400,1068459446] |
[a1,a2,a3,a4,a6] |
Generators |
[777:1291:1] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
2.9073689744586 |
L(r)(E,1)/r! |
Ω |
0.36530210425462 |
Real period |
R |
2.6529356940433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17328v2 69312t2 6498w2 54150bv2 |
Quadratic twists by: -4 8 -3 5 |