Atkin-Lehner |
2- 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19176f |
Isogeny class |
Conductor |
19176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2076530688 = 211 · 33 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19568,-1060128] |
[a1,a2,a3,a4,a6] |
j |
404627385505250/1013931 |
j-invariant |
L |
2.4219345962045 |
L(r)(E,1)/r! |
Ω |
0.40365576603408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352c2 57528d2 |
Quadratic twists by: -4 -3 |