Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006x |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
8.5305630132129E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2387006,-201613189] |
[a1,a2,a3,a4,a6] |
j |
1504126128204710322425569/853056301321290114048 |
j-invariant |
L |
4.5884317133238 |
L(r)(E,1)/r! |
Ω |
0.13109804895211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048co1 18018t1 42042dd1 66066i1 |
Quadratic twists by: -4 -3 -7 -11 |