Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220h |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
1026134578000 = 24 · 53 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,167600] |
[a1,a2,a3,a4,a6] |
Generators |
[95:685:1] |
Generators of the group modulo torsion |
j |
251969536/11125 |
j-invariant |
L |
7.875239737393 |
L(r)(E,1)/r! |
Ω |
0.86716442963373 |
Real period |
R |
3.0271997116907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004147 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87220e1 |
Quadratic twists by: -7 |