Atkin-Lehner |
2+ 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bb |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
256128 |
Modular degree for the optimal curve |
Δ |
-15599665152000 = -1 · 223 · 33 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1719,-187892] |
[a1,a2,a3,a4,a6] |
Generators |
[62:366:1] |
Generators of the group modulo torsion |
j |
4497844675843/124797321216 |
j-invariant |
L |
6.3151529226118 |
L(r)(E,1)/r! |
Ω |
0.33750091128942 |
Real period |
R |
3.1185856149781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650bu1 |
Quadratic twists by: 5 |