Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bh |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.4454746575863E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20081115,34850886282] |
[a1,a2,a3,a4,a6] |
j |
-11108001800138902875/79947274872976 |
j-invariant |
L |
1.0753244444064 |
L(r)(E,1)/r! |
Ω |
0.1344155555508 |
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 |
2394h4 76608dg4 19152bg2 |
Quadratic twists by: -4 8 -3 |