Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bd |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-293102266424776704 = -1 · 211 · 33 · 77 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48069,-25729802] |
[a1,a2,a3,a4,a6] |
Generators |
[124638866:6201866376:50653] |
Generators of the group modulo torsion |
j |
1888152282/45054401 |
j-invariant |
L |
8.6752772881132 |
L(r)(E,1)/r! |
Ω |
0.14903087727125 |
Real period |
R |
14.552818592881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144j1 11592i1 |
Quadratic twists by: -3 -7 |