Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240bc |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-300816269475840 = -1 · 215 · 38 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10932,709072] |
[a1,a2,a3,a4,a6] |
j |
6048464248/12592845 |
j-invariant |
L |
3.0228637149676 |
L(r)(E,1)/r! |
Ω |
0.37785796403976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bu3 33120bi2 22080bn3 |
Quadratic twists by: -4 8 -3 |