Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bg |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
19062500452466688 = 230 · 36 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97635,-9682846] |
[a1,a2,a3,a4,a6] |
Generators |
[-108920:618649:512] |
Generators of the group modulo torsion |
j |
34470916278625/6383992832 |
j-invariant |
L |
5.3283685226548 |
L(r)(E,1)/r! |
Ω |
0.27353737666452 |
Real period |
R |
9.7397448712542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946i1 7952e1 |
Quadratic twists by: -4 -3 |