Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328p |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-11846855688192 = -1 · 221 · 39 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 5 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-616059,-186115158] |
[a1,a2,a3,a4,a6] |
j |
-320729857537851/146944 |
j-invariant |
L |
3.0673721577182 |
L(r)(E,1)/r! |
Ω |
0.085204782159073 |
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 |
5166y1 41328v1 |
Quadratic twists by: -4 -3 |