Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bf |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5790475811226E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3486603,-2431804102] |
[a1,a2,a3,a4,a6] |
Generators |
[43994333325053:260084760122880:20324066489] |
Generators of the group modulo torsion |
j |
1569797865978006601/52881984000000 |
j-invariant |
L |
7.0567285262719 |
L(r)(E,1)/r! |
Ω |
0.11071235273991 |
Real period |
R |
15.934826490987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001409 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9090q2 24240bc2 |
Quadratic twists by: -4 -3 |