Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220h |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
325120479693520 = 24 · 5 · 78 · 893 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74545,-7810580] |
[a1,a2,a3,a4,a6] |
Generators |
[22116:592388:27] |
Generators of the group modulo torsion |
j |
496684711936/3524845 |
j-invariant |
L |
7.875239737393 |
L(r)(E,1)/r! |
Ω |
0.28905480987791 |
Real period |
R |
9.0815991350721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220e2 |
Quadratic twists by: -7 |