Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286be |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-57011454954897408 = -1 · 216 · 38 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55557,10309221] |
[a1,a2,a3,a4,a6] |
j |
221115865823/664731648 |
j-invariant |
L |
0.99384666538951 |
L(r)(E,1)/r! |
Ω |
0.24846166634738 |
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 |
6762bh1 2898i1 |
Quadratic twists by: -3 -7 |