Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602d |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
409131374578992 = 24 · 36 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-618881,-187650939] |
[a1,a2,a3,a4,a6] |
Generators |
[-155890:60773:343] |
Generators of the group modulo torsion |
j |
5431079301822433/84762288 |
j-invariant |
L |
3.8538454567514 |
L(r)(E,1)/r! |
Ω |
0.17021509931735 |
Real period |
R |
5.6602579210261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3354e2 |
Quadratic twists by: 13 |