Atkin-Lehner |
3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12483j |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
174825222313059 = 314 · 193 · 732 |
Discriminant |
Eigenvalues |
-1 3- -2 2 -2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330341,-72993414] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:40899:1] |
Generators of the group modulo torsion |
j |
5468678455460725513/239815119771 |
j-invariant |
L |
2.5603008402079 |
L(r)(E,1)/r! |
Ω |
0.19914076921378 |
Real period |
R |
2.1427897882791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161c2 |
Quadratic twists by: -3 |