Atkin-Lehner |
2- 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632u |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29241850860288 = 28 · 311 · 112 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9255,-223054] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:286:1] |
Generators of the group modulo torsion |
j |
469770226000/156688587 |
j-invariant |
L |
3.3848148437785 |
L(r)(E,1)/r! |
Ω |
0.49980352598284 |
Real period |
R |
3.3861454489466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999232751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28908g2 38544l2 |
Quadratic twists by: -4 -3 |