Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990y |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
172679815210500 = 22 · 39 · 53 · 132 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65700414,204991132320] |
[a1,a2,a3,a4,a6] |
Generators |
[3705:109590:1] |
Generators of the group modulo torsion |
j |
43022981733249851446415329/236872174500 |
j-invariant |
L |
4.62100351303 |
L(r)(E,1)/r! |
Ω |
0.27710100202103 |
Real period |
R |
4.1690606308105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997706 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18330ba3 |
Quadratic twists by: -3 |