Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040c |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
373714560000 = 210 · 38 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,-1802] |
[a1,a2,a3,a4,a6] |
j |
868327204/500625 |
j-invariant |
L |
1.5969635436361 |
L(r)(E,1)/r! |
Ω |
0.79848177181625 |
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 |
64080d1 10680e1 |
Quadratic twists by: -4 -3 |