Atkin-Lehner |
2- 3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
87216k |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-6643766016 = -1 · 28 · 33 · 233 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -5 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165,3951] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:69:1] |
Generators of the group modulo torsion |
j |
-1952382976/25952211 |
j-invariant |
L |
9.2488729517096 |
L(r)(E,1)/r! |
Ω |
1.1306036291286 |
Real period |
R |
0.45447074648024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21804a1 |
Quadratic twists by: -4 |