Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bn |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.1010875307908E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4378143,-1714485058] |
[a1,a2,a3,a4,a6] |
Generators |
[19159153:1734512616:2197] |
Generators of the group modulo torsion |
j |
28071778927696/12404390625 |
j-invariant |
L |
4.4926953321294 |
L(r)(E,1)/r! |
Ω |
0.10871722121291 |
Real period |
R |
10.331149197672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002898 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43560ca2 29040t2 7920i2 |
Quadratic twists by: -4 -3 -11 |