Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5618j |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
281112 |
Modular degree for the optimal curve |
Δ |
-4.3250661350469E+20 |
Discriminant |
Eigenvalues |
2- -2 1 -4 1 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-908770,-1054760892] |
[a1,a2,a3,a4,a6] |
Generators |
[28324:4749902:1] |
Generators of the group modulo torsion |
j |
-25153757/131072 |
j-invariant |
L |
3.8592824853236 |
L(r)(E,1)/r! |
Ω |
0.069655739688893 |
Real period |
R |
1.6295614532103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44944l1 50562q1 5618e1 |
Quadratic twists by: -4 -3 53 |