Atkin-Lehner |
2- 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992be |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-8754374686512 = -1 · 24 · 3 · 72 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142353,-20625852] |
[a1,a2,a3,a4,a6] |
j |
-19939150548944896000/547148417907 |
j-invariant |
L |
2.2120728817391 |
L(r)(E,1)/r! |
Ω |
0.12289293989805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748o1 |
Quadratic twists by: -4 |