Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040l |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4986203793024614400 = -1 · 220 · 312 · 52 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-191736,112253040] |
[a1,a2,a3,a4,a6] |
j |
-190316752233854329/1217334910406400 |
j-invariant |
L |
0.83737036384355 |
L(r)(E,1)/r! |
Ω |
0.20934259096089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130f1 68160df1 51120br1 85200cv1 |
Quadratic twists by: -4 8 -3 5 |