Atkin-Lehner |
3+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21063a |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8642963469399 = -1 · 3 · 7 · 178 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4868,56036] |
[a1,a2,a3,a4,a6] |
j |
12757625371165247/8642963469399 |
j-invariant |
L |
0.9238864092258 |
L(r)(E,1)/r! |
Ω |
0.46194320461289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63189i3 |
Quadratic twists by: -3 |