Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600a |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2800526400000000 = 212 · 36 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89033,9932937] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:3000:1] |
Generators of the group modulo torsion |
j |
1219555693504/43758225 |
j-invariant |
L |
4.9326650623234 |
L(r)(E,1)/r! |
Ω |
0.45001683122301 |
Real period |
R |
2.7402669856358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cq2 16800br1 100800cw2 6720s2 |
Quadratic twists by: -4 8 -3 5 |