Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cc |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-795307240 = -1 · 23 · 5 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-491,-4607] |
[a1,a2,a3,a4,a6] |
Generators |
[15809:1979898:1] |
Generators of the group modulo torsion |
j |
-658489/40 |
j-invariant |
L |
13.957652504003 |
L(r)(E,1)/r! |
Ω |
0.505323241537 |
Real period |
R |
9.2070786597938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1690h1 82810bj1 |
Quadratic twists by: -7 13 |