Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4446r |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-482181780170697984 = -1 · 28 · 327 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 3 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,106699,-30624051] |
[a1,a2,a3,a4,a6] |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
4.8051362569033 |
L(r)(E,1)/r! |
Ω |
0.15016050802823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bo1 1482b1 111150ca1 57798q1 |
Quadratic twists by: -4 -3 5 13 |