Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400y |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1566720 |
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 |
[-592:20250:1] |
Generators of the group modulo torsion |
j |
32530909324/96046761123 |
j-invariant |
L |
8.7311551530245 |
L(r)(E,1)/r! |
Ω |
0.14071571794594 |
Real period |
R |
1.7235607444823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200f1 56400l1 |
Quadratic twists by: -4 5 |