Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240bk |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-48288960 = -1 · 26 · 38 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-358] |
[a1,a2,a3,a4,a6] |
j |
-262144/1035 |
j-invariant |
L |
1.656121043541 |
L(r)(E,1)/r! |
Ω |
0.8280605202931 |
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 |
66240fc1 1035d1 22080v1 |
Quadratic twists by: -4 8 -3 |