Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cp |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
4.6539509301944E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417768936,-3286616826636] |
[a1,a2,a3,a4,a6] |
Generators |
[102375:32045442:1] |
Generators of the group modulo torsion |
j |
1968666709544018637994033129/113621848881699526875 |
j-invariant |
L |
6.387461238435 |
L(r)(E,1)/r! |
Ω |
0.033393890791539 |
Real period |
R |
2.6566158456179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3315c4 |
Quadratic twists by: -4 |