Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10836d |
Isogeny class |
Conductor |
10836 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
55748955697650432 = 28 · 316 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252111,-47380394] |
[a1,a2,a3,a4,a6] |
j |
9495800976618448/298723399443 |
j-invariant |
L |
1.2808238945276 |
L(r)(E,1)/r! |
Ω |
0.21347064908794 |
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 |
43344bm2 3612f2 75852m2 |
Quadratic twists by: -4 -3 -7 |