Atkin-Lehner |
2- 3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bb |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4546116900 = 22 · 38 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11723,491447] |
[a1,a2,a3,a4,a6] |
Generators |
[414:959:8] |
Generators of the group modulo torsion |
j |
244386801446761/6236100 |
j-invariant |
L |
8.1918005598682 |
L(r)(E,1)/r! |
Ω |
1.2767374282162 |
Real period |
R |
1.6040495834984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990l1 |
Quadratic twists by: -3 |