Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280k |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1012076240400000000 = 210 · 314 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1216587,514218166] |
[a1,a2,a3,a4,a6] |
j |
266763091319403556/1355769140625 |
j-invariant |
L |
2.2310857818466 |
L(r)(E,1)/r! |
Ω |
0.27888572273083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16560q2 66240bq2 2760h2 41400bi2 |
Quadratic twists by: -4 8 -3 5 |