Atkin-Lehner |
3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43407p |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7724579499 = -1 · 36 · 7 · 134 · 53 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 1 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,207,4070] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:58:1] |
Generators of the group modulo torsion |
j |
1345572864/10596131 |
j-invariant |
L |
3.0909778535908 |
L(r)(E,1)/r! |
Ω |
0.96117113891971 |
Real period |
R |
0.20099034191378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4823b1 |
Quadratic twists by: -3 |