Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881k |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156225851787813921 = 38 · 478 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-934821,347602752] |
[a1,a2,a3,a4,a6] |
Generators |
[4255623563759488:3019799136215692871:167904261701632] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
7.3776883057675 |
L(r)(E,1)/r! |
Ω |
0.32422106827165 |
Real period |
R |
22.755116887056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6627g2 423c2 |
Quadratic twists by: -3 -47 |