Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8.0968005371821E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,106500933,92009429226] |
[a1,a2,a3,a4,a6] |
Generators |
[-723:120960:1] [1837:542080:1] |
Generators of the group modulo torsion |
j |
935355271080573/566899520000 |
j-invariant |
L |
11.012242112733 |
L(r)(E,1)/r! |
Ω |
0.037415159738403 |
Real period |
R |
9.1976773166944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bk4 87120dd2 7920x4 |
Quadratic twists by: -4 -3 -11 |