Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bx |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9.0825916762241E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49011271,132053853693] |
[a1,a2,a3,a4,a6] |
Generators |
[3849:19292:1] |
Generators of the group modulo torsion |
j |
-802767616729/56000 |
j-invariant |
L |
8.2388842432251 |
L(r)(E,1)/r! |
Ω |
0.14964273984199 |
Real period |
R |
4.5880855163197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830v2 82810bg2 |
Quadratic twists by: -7 13 |