Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
929475000000 = 26 · 37 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2487,-11284] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:90:1] |
Generators of the group modulo torsion |
j |
36462258496/19921875 |
j-invariant |
L |
6.5992533542733 |
L(r)(E,1)/r! |
Ω |
0.72193239917964 |
Real period |
R |
1.1426369978933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cn1 24480bb3 16320f1 |
Quadratic twists by: -4 8 -3 |