Atkin-Lehner |
3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981k |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-43517331 = -1 · 34 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
0 3- -3 -2 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,23,322] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-20:1] [-2:16:1] |
Generators of the group modulo torsion |
j |
4456448/150579 |
j-invariant |
L |
8.8853909349348 |
L(r)(E,1)/r! |
Ω |
1.5303068280445 |
Real period |
R |
0.72578508221841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981e1 |
Quadratic twists by: 17 |