Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544l |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40112278272 = 28 · 35 · 112 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1028,8604] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:22:1] |
Generators of the group modulo torsion |
j |
469770226000/156688587 |
j-invariant |
L |
2.9192493115861 |
L(r)(E,1)/r! |
Ω |
1.0577253860012 |
Real period |
R |
2.7599312167626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9636a2 115632u2 |
Quadratic twists by: -4 -3 |