Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810ce |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-144745917680000 = -1 · 27 · 54 · 77 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5879,554679] |
[a1,a2,a3,a4,a6] |
Generators |
[83:1232:1] [-218:5005:8] |
Generators of the group modulo torsion |
j |
86938307/560000 |
j-invariant |
L |
12.263154147576 |
L(r)(E,1)/r! |
Ω |
0.42076538108401 |
Real period |
R |
0.26022209209343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830z1 82810bn1 |
Quadratic twists by: -7 13 |