Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bj |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.1650159220323E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -2 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825707,-5279158118] |
[a1,a2,a3,a4,a6] |
Generators |
[612287:479105874:1] |
Generators of the group modulo torsion |
j |
-276301129/4782969 |
j-invariant |
L |
5.3282587610787 |
L(r)(E,1)/r! |
Ω |
0.054715148947052 |
Real period |
R |
8.1151485825782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1521e2 97344ey2 8112bd2 24336bm2 |
Quadratic twists by: -4 8 -3 13 |