Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247j |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
-3.7588485623031E+21 |
Discriminant |
Eigenvalues |
-2 3- -3 2 3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9499719,-11649389940] |
[a1,a2,a3,a4,a6] |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
0.68636235433959 |
L(r)(E,1)/r! |
Ω |
0.042897677303658 |
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 |
40749n1 7191h1 |
Quadratic twists by: -3 17 |