Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240bt |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
142044696640 = 26 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6517,-201684] |
[a1,a2,a3,a4,a6] |
j |
11852352/55 |
j-invariant |
L |
2.1260276667717 |
L(r)(E,1)/r! |
Ω |
0.53150689151912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240n1 86240v1 |
Quadratic twists by: -4 -7 |