Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9672a |
Isogeny class |
Conductor |
9672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-928512 = -1 · 28 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 5 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,13] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
5030912/3627 |
j-invariant |
L |
4.308793363904 |
L(r)(E,1)/r! |
Ω |
1.7762271161777 |
Real period |
R |
0.30322652186902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19344g1 77376w1 29016k1 125736q1 |
Quadratic twists by: -4 8 -3 13 |