Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422o |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30554340804 = 22 · 38 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1526,-20959] |
[a1,a2,a3,a4,a6] |
Generators |
[510:2711:8] |
Generators of the group modulo torsion |
j |
538757027353/41912676 |
j-invariant |
L |
7.2754631069824 |
L(r)(E,1)/r! |
Ω |
0.76765883389391 |
Real period |
R |
4.7387346994224 |
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 |
6474h2 |
Quadratic twists by: -3 |