Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881i |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-391317723 = -1 · 311 · 472 |
Discriminant |
Eigenvalues |
0 3- -4 0 6 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-282,2056] |
[a1,a2,a3,a4,a6] |
Generators |
[16:40:1] |
Generators of the group modulo torsion |
j |
-1540096/243 |
j-invariant |
L |
2.6680245169745 |
L(r)(E,1)/r! |
Ω |
1.6289455692744 |
Real period |
R |
0.40947109702427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627b1 19881h1 |
Quadratic twists by: -3 -47 |