Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28200f |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-1.92093522246E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83792,-666791588] |
[a1,a2,a3,a4,a6] |
Generators |
[136216074:10173225952:24389] |
Generators of the group modulo torsion |
j |
32530909324/96046761123 |
j-invariant |
L |
3.8322459912247 |
L(r)(E,1)/r! |
Ω |
0.083091523898359 |
Real period |
R |
11.530195293784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400y1 84600bz1 28200y1 |
Quadratic twists by: -4 -3 5 |