Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9546i |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-8494656976055808 = -1 · 29 · 311 · 373 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 1 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,48396,1714485] |
[a1,a2,a3,a4,a6] |
Generators |
[129:3117:1] |
Generators of the group modulo torsion |
j |
12535785590250481343/8494656976055808 |
j-invariant |
L |
5.2806550849146 |
L(r)(E,1)/r! |
Ω |
0.26015493887845 |
Real period |
R |
0.37589103401796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76368o1 28638e1 |
Quadratic twists by: -4 -3 |