Atkin-Lehner |
5+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19565a |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-194444306875 = -1 · 54 · 7 · 13 · 434 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-478,21712] |
[a1,a2,a3,a4,a6] |
Generators |
[23:138:1] |
Generators of the group modulo torsion |
j |
-12054670471089/194444306875 |
j-invariant |
L |
1.9017632961663 |
L(r)(E,1)/r! |
Ω |
0.85004725010904 |
Real period |
R |
2.23724421898 |
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 |
97825o3 |
Quadratic twists by: 5 |