Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70560000000000 = 214 · 32 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18033,-845937] |
[a1,a2,a3,a4,a6] |
Generators |
[159:576:1] |
Generators of the group modulo torsion |
j |
2533446736/275625 |
j-invariant |
L |
5.849263425772 |
L(r)(E,1)/r! |
Ω |
0.4148907950802 |
Real period |
R |
3.5245801396009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600x2 8400c2 100800lw2 6720bm2 |
Quadratic twists by: -4 8 -3 5 |