Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350j |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
6.3293377294082E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2781600,1742958000] |
[a1,a2,a3,a4,a6] |
Generators |
[1780:-50240:1] |
Generators of the group modulo torsion |
j |
152330884252627401217/4050776146821264 |
j-invariant |
L |
3.4190603830258 |
L(r)(E,1)/r! |
Ω |
0.1959525046179 |
Real period |
R |
0.54526293081937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1974i3 |
Quadratic twists by: 5 |