Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168u |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-3896064 = -1 · 28 · 32 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 -5 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,-36] |
[a1,a2,a3,a4,a6] |
j |
19600688/15219 |
j-invariant |
L |
5.5254944986777 |
L(r)(E,1)/r! |
Ω |
1.3813736392588 |
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 |
40584s1 |
Quadratic twists by: -4 |