Atkin-Lehner |
5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57475a |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
6174072265625 = 512 · 113 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11567,-460784] |
[a1,a2,a3,a4,a6] |
Generators |
[300:4646:1] |
Generators of the group modulo torsion |
j |
8230172859/296875 |
j-invariant |
L |
4.3288117067961 |
L(r)(E,1)/r! |
Ω |
0.46137576788018 |
Real period |
R |
4.6911996771545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495a1 57475d1 |
Quadratic twists by: 5 -11 |