Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bp |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4.8489139661164E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4162437,-733252719] |
[a1,a2,a3,a4,a6] |
j |
510442350279798844439/310330493831446920 |
j-invariant |
L |
3.8122651598716 |
L(r)(E,1)/r! |
Ω |
0.079422190583305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430w2 |
Quadratic twists by: 5 |