Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600z |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
705600000000 = 212 · 32 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2633,-31863] |
[a1,a2,a3,a4,a6] |
j |
31554496/11025 |
j-invariant |
L |
2.7422231170914 |
L(r)(E,1)/r! |
Ω |
0.68555577927152 |
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 |
33600cm2 16800ca1 100800fv2 6720z2 |
Quadratic twists by: -4 8 -3 5 |