Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800ev |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-5.5578557704995E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13638000,-19714412500] |
[a1,a2,a3,a4,a6] |
j |
-769623354048512/15247889631 |
j-invariant |
L |
2.8249091197007 |
L(r)(E,1)/r! |
Ω |
0.039234848882789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11700u1 15600bt1 46800fm1 |
Quadratic twists by: -4 -3 5 |