Atkin-Lehner |
2+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bb |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1.4344073408E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -5 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-300451,192904798] |
[a1,a2,a3,a4,a6] |
j |
-1535721826400117/7344165584896 |
j-invariant |
L |
0.77251775485202 |
L(r)(E,1)/r! |
Ω |
0.19312937821355 |
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 |
113050cx1 |
Quadratic twists by: 5 |