Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fi |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.733638970384E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229635012,-1339384270016] |
[a1,a2,a3,a4,a6] |
Generators |
[693498:577382000:1] |
Generators of the group modulo torsion |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
5.8358139218713 |
L(r)(E,1)/r! |
Ω |
0.038782877975989 |
Real period |
R |
9.404623616194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160et2 10080t1 6720cb2 100800mi2 |
Quadratic twists by: -4 8 -3 5 |