Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9960b |
Isogeny class |
Conductor |
9960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-317445120 = -1 · 210 · 32 · 5 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,864] |
[a1,a2,a3,a4,a6] |
j |
1431644/310005 |
j-invariant |
L |
2.6563187070752 |
L(r)(E,1)/r! |
Ω |
1.3281593535376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19920a2 79680j2 29880m2 49800v2 |
Quadratic twists by: -4 8 -3 5 |