Atkin-Lehner |
2- 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614q |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-672382931774796 = -1 · 22 · 32 · 119 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20991,433269] |
[a1,a2,a3,a4,a6] |
j |
433798093/285156 |
j-invariant |
L |
5.1145150278014 |
L(r)(E,1)/r! |
Ω |
0.31965718931163 |
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 |
64614f2 |
Quadratic twists by: -11 |