Atkin-Lehner |
2+ 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400bs |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1320960 |
Modular degree for the optimal curve |
Δ |
75527629763058000 = 24 · 310 · 53 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140563,15335378] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:2376:1] [-307:5445:1] |
Generators of the group modulo torsion |
j |
153571228698232832/37763814881529 |
j-invariant |
L |
13.311304464925 |
L(r)(E,1)/r! |
Ω |
0.32315302983191 |
Real period |
R |
0.34326627639185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400ci1 |
Quadratic twists by: 5 |