Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63878a |
Isogeny class |
Conductor |
63878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
1.0645383351452E+23 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185974388,-976002596400] |
[a1,a2,a3,a4,a6] |
Generators |
[11006146507991568153897151131262385416:89700519467938855142297505180142215548:697463018710139470083437379463793] |
Generators of the group modulo torsion |
j |
149754536662333268457/22410841554944 |
j-invariant |
L |
4.0897149947374 |
L(r)(E,1)/r! |
Ω |
0.040882756473528 |
Real period |
R |
50.01760335541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1558a1 |
Quadratic twists by: 41 |