Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240by |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.7710572229341E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29280280,-55465595600] |
[a1,a2,a3,a4,a6] |
j |
677781101619292083943321/67652764231789288125 |
j-invariant |
L |
2.0902037735982 |
L(r)(E,1)/r! |
Ω |
0.065318867773978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4515h3 |
Quadratic twists by: -4 |