Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990m |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
793592342244000000 = 28 · 312 · 56 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2106414,-1175387180] |
[a1,a2,a3,a4,a6] |
j |
1417840891504158191329/1088604036000000 |
j-invariant |
L |
1.5038858528359 |
L(r)(E,1)/r! |
Ω |
0.1253238212284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18330r2 |
Quadratic twists by: -3 |