Atkin-Lehner |
2+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5986a |
Isogeny class |
Conductor |
5986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-47888 = -1 · 24 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ 1 0 0 -4 1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4,10] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
9938375/47888 |
j-invariant |
L |
3.3242803622222 |
L(r)(E,1)/r! |
Ω |
2.5690482129511 |
Real period |
R |
0.64698676059559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47888j1 53874f1 |
Quadratic twists by: -4 -3 |