Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bm |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-1343578650329006000 = -1 · 24 · 53 · 77 · 138 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 4 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,275861,237173] |
[a1,a2,a3,a4,a6] |
Generators |
[894:82363:27] |
Generators of the group modulo torsion |
j |
24191271/14000 |
j-invariant |
L |
10.174528998277 |
L(r)(E,1)/r! |
Ω |
0.16191913322728 |
Real period |
R |
0.87273751991431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830e1 82810cd1 |
Quadratic twists by: -7 13 |