Atkin-Lehner |
2- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550cc |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
13564472416924000 = 25 · 53 · 11 · 137 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11- 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60223,-984263] |
[a1,a2,a3,a4,a6] |
j |
193241904008457221/108515779335392 |
j-invariant |
L |
3.2777457715109 |
L(r)(E,1)/r! |
Ω |
0.32777466002304 |
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 |
121550ba1 |
Quadratic twists by: 5 |