Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bn |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-122114801664 = -1 · 218 · 38 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,16720] |
[a1,a2,a3,a4,a6] |
Generators |
[5:135:1] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
6.6033169628445 |
L(r)(E,1)/r! |
Ω |
0.79531511575613 |
Real period |
R |
2.0756920219491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896w1 10224o1 13632s1 |
Quadratic twists by: -4 8 -3 |