Atkin-Lehner |
2- 3- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302t |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44000 |
Modular degree for the optimal curve |
Δ |
-2237091067926 = -1 · 2 · 35 · 11 · 132 · 195 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1007,-73089] |
[a1,a2,a3,a4,a6] |
j |
-112937736208753/2237091067926 |
j-invariant |
L |
3.5407561396612 |
L(r)(E,1)/r! |
Ω |
0.35407561396612 |
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 |
48906q1 |
Quadratic twists by: -3 |