Atkin-Lehner |
3- 5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825k |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6953418421875 = -1 · 36 · 56 · 193 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 1 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16401,-819677] |
[a1,a2,a3,a4,a6] |
j |
-31223142183169/445018779 |
j-invariant |
L |
1.264557043009 |
L(r)(E,1)/r! |
Ω |
0.21075945114974 |
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 |
5073b1 |
Quadratic twists by: 5 |