Atkin-Lehner |
3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82365h |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2839680 |
Modular degree for the optimal curve |
Δ |
-3882989981806640625 = -1 · 3 · 510 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 3 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5823645,5407696620] |
[a1,a2,a3,a4,a6] |
j |
-3131244824786641/556640625 |
j-invariant |
L |
2.4040784099505 |
L(r)(E,1)/r! |
Ω |
0.24040784301669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82365l1 |
Quadratic twists by: 17 |