Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cm |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1451520000000 = 215 · 34 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37633,2796863] |
[a1,a2,a3,a4,a6] |
j |
11512557512/2835 |
j-invariant |
L |
3.3205810164725 |
L(r)(E,1)/r! |
Ω |
0.83014525411699 |
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 |
33600z4 16800d3 100800eb4 6720n4 |
Quadratic twists by: -4 8 -3 5 |