Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bk |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3855268884480 = -1 · 212 · 3 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,95341] |
[a1,a2,a3,a4,a6] |
j |
-4096/195 |
j-invariant |
L |
1.3019239030784 |
L(r)(E,1)/r! |
Ω |
0.65096195157463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2535h1 121680fh1 3120t1 |
Quadratic twists by: -4 -3 13 |