Atkin-Lehner |
2- 3- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142w |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1053105375168 = -1 · 26 · 310 · 72 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,-49395] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-735:1] |
Generators of the group modulo torsion |
j |
-13430356633/1444588992 |
j-invariant |
L |
7.7646542169967 |
L(r)(E,1)/r! |
Ω |
0.38734997689514 |
Real period |
R |
0.83523242111564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714a1 |
Quadratic twists by: -3 |