Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628k |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
408579138416592 = 24 · 38 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-798600,-274687787] |
[a1,a2,a3,a4,a6] |
Generators |
[1211:23112:1] [5291:378972:1] |
Generators of the group modulo torsion |
j |
2725888000000/19773 |
j-invariant |
L |
9.5364889904391 |
L(r)(E,1)/r! |
Ω |
0.15970459700346 |
Real period |
R |
29.856651497109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876h3 468d3 |
Quadratic twists by: -3 -11 |