Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5976f |
Isogeny class |
Conductor |
5976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1672897536 = -1 · 210 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -1 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,-4266] |
[a1,a2,a3,a4,a6] |
Generators |
[51:324:1] |
Generators of the group modulo torsion |
j |
-530604/83 |
j-invariant |
L |
2.9987282069083 |
L(r)(E,1)/r! |
Ω |
0.51131994184495 |
Real period |
R |
1.4661701810848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11952a1 47808c1 5976a1 |
Quadratic twists by: -4 8 -3 |