Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120br |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44004962988518400 = 210 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235587,-42839566] |
[a1,a2,a3,a4,a6] |
Generators |
[27883:4655250:1] |
Generators of the group modulo torsion |
j |
821516/25 |
j-invariant |
L |
6.6427703195999 |
L(r)(E,1)/r! |
Ω |
0.2171053034979 |
Real period |
R |
7.6492492493605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560u2 9680d2 87120bp2 |
Quadratic twists by: -4 -3 -11 |