Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fn |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
12116854800 = 24 · 313 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,-4885] |
[a1,a2,a3,a4,a6] |
j |
132893440/41553 |
j-invariant |
L |
1.8984782472417 |
L(r)(E,1)/r! |
Ω |
0.94923913557239 |
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 |
17100s1 22800cg1 68400gm1 |
Quadratic twists by: -4 -3 5 |