Atkin-Lehner |
2- 3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bs |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2622881207232 = -1 · 26 · 38 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1876,70895] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:205:1] |
Generators of the group modulo torsion |
j |
1002101470343/3597916608 |
j-invariant |
L |
11.342616230676 |
L(r)(E,1)/r! |
Ω |
0.57540949014758 |
Real period |
R |
0.54756252454811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302g1 |
Quadratic twists by: -3 |