Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cr |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1299500236800 = 222 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,-95056] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:117:1] |
Generators of the group modulo torsion |
j |
47045881/6800 |
j-invariant |
L |
6.689395510192 |
L(r)(E,1)/r! |
Ω |
0.59414884031184 |
Real period |
R |
2.8146968639608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fe1 1530k1 5440c1 |
Quadratic twists by: -4 8 -3 |