Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bc |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19965608828928 = 213 · 39 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1580715,764941914] |
[a1,a2,a3,a4,a6] |
j |
5417927574172875/247646 |
j-invariant |
L |
2.040810081087 |
L(r)(E,1)/r! |
Ω |
0.51020252027175 |
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 |
2394g4 76608da4 19152bd2 |
Quadratic twists by: -4 8 -3 |