Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39432c |
Isogeny class |
Conductor |
39432 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
951023893968 = 24 · 35 · 31 · 534 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3447,-63342] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:15:1] |
Generators of the group modulo torsion |
j |
283174123952128/59438993373 |
j-invariant |
L |
8.2778952267904 |
L(r)(E,1)/r! |
Ω |
0.63229104919531 |
Real period |
R |
2.6183812778383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78864d1 118296c1 |
Quadratic twists by: -4 -3 |