Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248bg |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
115187761152 = 214 · 33 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -2 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224,-2700] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-102:1] |
Generators of the group modulo torsion |
j |
49552182217/28122012 |
j-invariant |
L |
5.4281986648127 |
L(r)(E,1)/r! |
Ω |
0.87137139317626 |
Real period |
R |
0.34608273217475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5406c1 129744bb1 |
Quadratic twists by: -4 -3 |