Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722eb |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
32617728 |
Modular degree for the optimal curve |
Δ |
-4.6738796308999E+23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89256278,326253183589] |
[a1,a2,a3,a4,a6] |
j |
-705703720113/4194304 |
j-invariant |
L |
8.2780748212869 |
L(r)(E,1)/r! |
Ω |
0.09406902480659 |
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 |
106722d1 106722en1 106722c1 |
Quadratic twists by: -3 -7 -11 |