Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992cf |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-84020378140188672 = -1 · 213 · 3 · 712 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87248,9832148] |
[a1,a2,a3,a4,a6] |
Generators |
[22057:1359630:343] |
Generators of the group modulo torsion |
j |
17931855373539407/20512787631882 |
j-invariant |
L |
8.9743836611707 |
L(r)(E,1)/r! |
Ω |
0.2274410351937 |
Real period |
R |
9.8645168089759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000010224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374j4 |
Quadratic twists by: -4 |