Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880cq |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-9.0114426824294E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364616,464399220] |
[a1,a2,a3,a4,a6] |
Generators |
[-2984772:496464837:21952] |
Generators of the group modulo torsion |
j |
-1308796492121439049/22000592486400000 |
j-invariant |
L |
8.1159659132774 |
L(r)(E,1)/r! |
Ω |
0.16103941390624 |
Real period |
R |
12.599347135605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610c1 |
Quadratic twists by: -4 |