Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056by |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-347609911394304 = -1 · 217 · 36 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -2 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6309,876042] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:874:1] |
Generators of the group modulo torsion |
j |
9300746727/116413856 |
j-invariant |
L |
6.2802386028677 |
L(r)(E,1)/r! |
Ω |
0.39858774668223 |
Real period |
R |
1.9695282453938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5382m1 4784f1 |
Quadratic twists by: -4 -3 |