Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cn |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
170890256250000 = 24 · 34 · 58 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174313,-28019383] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:155:1] |
Generators of the group modulo torsion |
j |
37488077912343241/10936976400 |
j-invariant |
L |
10.71539386922 |
L(r)(E,1)/r! |
Ω |
0.23365479664201 |
Real period |
R |
2.8662459587893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430i2 |
Quadratic twists by: 5 |