Atkin-Lehner |
13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86411a |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1594986421951 = -1 · 132 · 177 · 23 |
Discriminant |
Eigenvalues |
1 0 -2 0 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1102,-59385] |
[a1,a2,a3,a4,a6] |
Generators |
[14984112:169573331:110592] |
Generators of the group modulo torsion |
j |
6128487/66079 |
j-invariant |
L |
4.1573648481503 |
L(r)(E,1)/r! |
Ω |
0.41606715654835 |
Real period |
R |
9.9920524375734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5083a1 |
Quadratic twists by: 17 |