Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bf |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129392640 |
Modular degree for the optimal curve |
Δ |
-8.5989033621056E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82390153472,-9102542581769216] |
[a1,a2,a3,a4,a6] |
Generators |
[13346804787981408984416:-2796342531499303979487488:37957785596021017] |
Generators of the group modulo torsion |
j |
-644487634439863642624729/896000 |
j-invariant |
L |
3.5681866011679 |
L(r)(E,1)/r! |
Ω |
0.0044555439407438 |
Real period |
R |
33.368415549844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830b1 82810bw1 |
Quadratic twists by: -7 13 |