Atkin-Lehner |
2+ 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202b |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9704448 |
Modular degree for the optimal curve |
Δ |
-1.873210060576E+21 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 6 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2937893,762444753] |
[a1,a2,a3,a4,a6] |
Generators |
[258870:15550047:125] |
Generators of the group modulo torsion |
j |
3437831495633639/2296358359876 |
j-invariant |
L |
8.2479445002419 |
L(r)(E,1)/r! |
Ω |
0.093082840946142 |
Real period |
R |
3.6920269132111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202bb1 |
Quadratic twists by: 13 |