Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536cs |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
46495608864768 = 222 · 35 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10337,233247] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:768:1] |
Generators of the group modulo torsion |
j |
466025146777/177366672 |
j-invariant |
L |
7.0455431168599 |
L(r)(E,1)/r! |
Ω |
0.58168292482178 |
Real period |
R |
1.2112343024369 |
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 |
25536t1 6384t1 76608dy1 |
Quadratic twists by: -4 8 -3 |