Atkin-Lehner |
2+ 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19176a |
Isogeny class |
Conductor |
19176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6229592064 = 211 · 34 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-584,3696] |
[a1,a2,a3,a4,a6] |
j |
10773969554/3041793 |
j-invariant |
L |
2.4970568681966 |
L(r)(E,1)/r! |
Ω |
1.2485284340983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352a2 57528k2 |
Quadratic twists by: -4 -3 |