Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
47712k |
Isogeny class |
Conductor |
47712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-45265401925632 = -1 · 212 · 33 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7023,-228897] |
[a1,a2,a3,a4,a6] |
j |
9351255626432/11051123517 |
j-invariant |
L |
4.1210287740862 |
L(r)(E,1)/r! |
Ω |
0.34341906456597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47712m2 95424q1 |
Quadratic twists by: -4 8 |