Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478bq |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
154880 |
Modular degree for the optimal curve |
Δ |
-19486992316374 = -1 · 2 · 317 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11+ 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4207,183543] |
[a1,a2,a3,a4,a6] |
Generators |
[694:8397:8] |
Generators of the group modulo torsion |
j |
1647212741/3897234 |
j-invariant |
L |
8.5351986549042 |
L(r)(E,1)/r! |
Ω |
0.47777983734431 |
Real period |
R |
2.2330365333637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826g1 71478j1 |
Quadratic twists by: -3 -19 |