Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870k |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1528258086914062500 = 22 · 39 · 512 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-308754,28762560] |
[a1,a2,a3,a4,a6] |
j |
4465136636671380769/2096375976562500 |
j-invariant |
L |
1.9154112666782 |
L(r)(E,1)/r! |
Ω |
0.23942640833478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30960bw3 123840bk3 1290n3 19350ca3 |
Quadratic twists by: -4 8 -3 5 |