Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144w |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1148191732334592 = -1 · 216 · 316 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25983,-234657] |
[a1,a2,a3,a4,a6] |
j |
29600220537212/17520015447 |
j-invariant |
L |
4.5735072096526 |
L(r)(E,1)/r! |
Ω |
0.28584419838284 |
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 |
78144cc3 9768g4 |
Quadratic twists by: -4 8 |