Atkin-Lehner |
5+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19565b |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1696 |
Modular degree for the optimal curve |
Δ |
19565 = 5 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -4 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,30] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] [2:0:1] |
Generators of the group modulo torsion |
j |
1073741824/19565 |
j-invariant |
L |
3.9499069624993 |
L(r)(E,1)/r! |
Ω |
3.8577142345471 |
Real period |
R |
1.0238982781893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825m1 |
Quadratic twists by: 5 |