Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600eu |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5294205000000 = -1 · 26 · 32 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8408,-313938] |
[a1,a2,a3,a4,a6] |
j |
-65743598656/5294205 |
j-invariant |
L |
0.49627585422716 |
L(r)(E,1)/r! |
Ω |
0.24813792711663 |
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 |
33600ha1 16800t2 100800mq1 6720ce1 |
Quadratic twists by: -4 8 -3 5 |