Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bv |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5604480 |
Modular degree for the optimal curve |
Δ |
4.0876195954633E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3968888,-2885357719] |
[a1,a2,a3,a4,a6] |
Generators |
[-30255:352939:27] |
Generators of the group modulo torsion |
j |
17699875632134484385/1046430616438608 |
j-invariant |
L |
8.5431139016672 |
L(r)(E,1)/r! |
Ω |
0.10735790371607 |
Real period |
R |
6.6313343847082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650p1 |
Quadratic twists by: 5 |