Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800ck |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
910163968000 = 225 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2688,28672] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2560:1] |
Generators of the group modulo torsion |
j |
4196653397/1777664 |
j-invariant |
L |
5.738812918989 |
L(r)(E,1)/r! |
Ω |
0.79957062351847 |
Real period |
R |
0.89717104879957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850bc1 86800co1 |
Quadratic twists by: -4 5 |