Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19448c |
Isogeny class |
Conductor |
19448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-56326386688 = -1 · 210 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-11716] |
[a1,a2,a3,a4,a6] |
j |
-7353062500/55006237 |
j-invariant |
L |
1.878242361848 |
L(r)(E,1)/r! |
Ω |
0.469560590462 |
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 |
38896d2 |
Quadratic twists by: -4 |