Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944r |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
42567467008 = 219 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 1 2 -4 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2337,41567] |
[a1,a2,a3,a4,a6] |
Generators |
[7:160:1] |
Generators of the group modulo torsion |
j |
5386984777/162382 |
j-invariant |
L |
6.5539505944296 |
L(r)(E,1)/r! |
Ω |
1.137147920914 |
Real period |
R |
1.4408746817118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944k1 10736h1 |
Quadratic twists by: -4 8 |