Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172s |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
364024834749257472 = 28 · 314 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-624668,187591620] |
[a1,a2,a3,a4,a6] |
Generators |
[856:-16758:1] |
Generators of the group modulo torsion |
j |
895043160898000/12086562663 |
j-invariant |
L |
5.5953231075215 |
L(r)(E,1)/r! |
Ω |
0.30302137100321 |
Real period |
R |
0.43964548873057 |
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 |
44688bw2 33516r2 1596a2 |
Quadratic twists by: -4 -3 -7 |