Atkin-Lehner |
2- 3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bn |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2308608 |
Modular degree for the optimal curve |
Δ |
-1.4199504802967E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-592133,-252095673] |
[a1,a2,a3,a4,a6] |
j |
-31495847002497862921/19478058714632250 |
j-invariant |
L |
3.0132413310547 |
L(r)(E,1)/r! |
Ω |
0.083701162989488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230f1 |
Quadratic twists by: -3 |