Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bm |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-284943120613632 = -1 · 28 · 318 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27615,1944074] |
[a1,a2,a3,a4,a6] |
Generators |
[-1338:48230:27] |
Generators of the group modulo torsion |
j |
-12479332642000/1526829993 |
j-invariant |
L |
6.6512149641374 |
L(r)(E,1)/r! |
Ω |
0.53233922375242 |
Real period |
R |
6.247158454015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7956g2 127296cm2 10608r2 |
Quadratic twists by: -4 8 -3 |