Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9672c |
Isogeny class |
Conductor |
9672 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-606819790512 = -1 · 24 · 35 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4083,-108558] |
[a1,a2,a3,a4,a6] |
j |
-470596000000000/37926236907 |
j-invariant |
L |
2.9724558301033 |
L(r)(E,1)/r! |
Ω |
0.29724558301033 |
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 |
19344c1 77376h1 29016i1 125736w1 |
Quadratic twists by: -4 8 -3 13 |