Atkin-Lehner |
2- 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
48564a |
Isogeny class |
Conductor |
48564 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
896879952 = 24 · 37 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-6919] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11:1] [-14:9:1] |
Generators of the group modulo torsion |
j |
3196715008/76893 |
j-invariant |
L |
8.0709654914534 |
L(r)(E,1)/r! |
Ω |
0.93085877595281 |
Real period |
R |
1.4450751821783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16188a1 |
Quadratic twists by: -3 |