Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33533533440 = 28 · 39 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71247,7319774] |
[a1,a2,a3,a4,a6] |
Generators |
[110:902:1] |
Generators of the group modulo torsion |
j |
161019290864/135 |
j-invariant |
L |
6.2944771316338 |
L(r)(E,1)/r! |
Ω |
0.97199551815542 |
Real period |
R |
3.2379146864041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560t2 29040b2 87120bo2 |
Quadratic twists by: -4 -3 -11 |