Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960du |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-15980544000 = -1 · 214 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,228,5936] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:60:1] [2:80:1] |
Generators of the group modulo torsion |
j |
2963088/36125 |
j-invariant |
L |
9.8826008827084 |
L(r)(E,1)/r! |
Ω |
0.91557817145147 |
Real period |
R |
0.89948635653196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960u1 12240b1 48960di1 |
Quadratic twists by: -4 8 -3 |