Atkin-Lehner |
3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487t |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2032446897 = -1 · 39 · 133 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 1 -5 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,144,2029] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:259:8] |
Generators of the group modulo torsion |
j |
205379/1269 |
j-invariant |
L |
8.487672488384 |
L(r)(E,1)/r! |
Ω |
1.066193831533 |
Real period |
R |
1.9901804528132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829h1 71487v1 |
Quadratic twists by: -3 13 |