Atkin-Lehner |
3- 7- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
67599f |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
7.1035226277461E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1672938,-727049601] |
[a1,a2,a3,a4,a6] |
j |
710290274194750126753/97442011354541553 |
j-invariant |
L |
3.2149491247031 |
L(r)(E,1)/r! |
Ω |
0.13395621377932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22533e1 |
Quadratic twists by: -3 |