Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bf |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87480000000 = 29 · 37 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36075,-2637250] |
[a1,a2,a3,a4,a6] |
Generators |
[1186:40284:1] |
Generators of the group modulo torsion |
j |
890277128/15 |
j-invariant |
L |
4.2042212402022 |
L(r)(E,1)/r! |
Ω |
0.34641637179043 |
Real period |
R |
6.0681618747881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200f3 14400w3 2400a3 1440c2 |
Quadratic twists by: -4 8 -3 5 |