Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bs |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-40824000000000 = -1 · 212 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,-307463] |
[a1,a2,a3,a4,a6] |
j |
64/5103 |
j-invariant |
L |
0.59347388113297 |
L(r)(E,1)/r! |
Ω |
0.29673694056692 |
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 |
33600du2 16800z1 100800ha2 33600dw2 |
Quadratic twists by: -4 8 -3 5 |