Atkin-Lehner |
2- 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992ca |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-163595158272 = -1 · 28 · 37 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 3 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,723,-18207] |
[a1,a2,a3,a4,a6] |
j |
163041370112/639043587 |
j-invariant |
L |
3.1078531362253 |
L(r)(E,1)/r! |
Ω |
0.51797552659655 |
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 |
20748l1 |
Quadratic twists by: -4 |