Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bu |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7605946220544 = 216 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11091,-429550] |
[a1,a2,a3,a4,a6] |
j |
50529889873/2547216 |
j-invariant |
L |
1.8666998261648 |
L(r)(E,1)/r! |
Ω |
0.46667495654121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2394f2 76608fk2 6384u2 |
Quadratic twists by: -4 8 -3 |