Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056ba |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-41069223936 = -1 · 213 · 36 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,-36254] |
[a1,a2,a3,a4,a6] |
Generators |
[57:184:1] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
3.6751033261114 |
L(r)(E,1)/r! |
Ω |
0.35517462215095 |
Real period |
R |
1.2934142450352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5382e1 4784d1 |
Quadratic twists by: -4 -3 |