Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666cc |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290880 |
Modular degree for the optimal curve |
Δ |
-1088474530962 = -1 · 2 · 3 · 75 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3598,96758] |
[a1,a2,a3,a4,a6] |
j |
-2344685924125/495436746 |
j-invariant |
L |
1.6689003136563 |
L(r)(E,1)/r! |
Ω |
0.83444997607109 |
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 |
120666bb1 |
Quadratic twists by: 13 |