Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486q |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0447339473378E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31797022482,-2182359093588140] |
[a1,a2,a3,a4,a6] |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
0.81402067892043 |
L(r)(E,1)/r! |
Ω |
0.011305842763385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t6 2394n6 |
Quadratic twists by: -3 -19 |