Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044f |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-21008644643304432 = -1 · 24 · 36 · 239 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87285,-12130499] |
[a1,a2,a3,a4,a6] |
j |
-42592000/12167 |
j-invariant |
L |
0.82112600513084 |
L(r)(E,1)/r! |
Ω |
0.13685433418847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176br2 2116c2 828d2 |
Quadratic twists by: -4 -3 -23 |