Atkin-Lehner |
3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649l |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
5802969814191297 = 311 · 117 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45761,-862320] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:1731:1] |
Generators of the group modulo torsion |
j |
8205738913/4493313 |
j-invariant |
L |
1.7102764484687 |
L(r)(E,1)/r! |
Ω |
0.34874129230573 |
Real period |
R |
1.226035234573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14883e1 4059b1 |
Quadratic twists by: -3 -11 |