Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568a |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-122711065344 = -1 · 28 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 1 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,18846] |
[a1,a2,a3,a4,a6] |
Generators |
[21:108:1] |
Generators of the group modulo torsion |
j |
-10536048/24353 |
j-invariant |
L |
5.0144427589053 |
L(r)(E,1)/r! |
Ω |
0.92719896732359 |
Real period |
R |
1.3520406449384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784b1 71568d1 |
Quadratic twists by: -4 -3 |