Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536l |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
264312717312 = 218 · 3 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27585,1772481] |
[a1,a2,a3,a4,a6] |
Generators |
[104:133:1] [-127:1792:1] |
Generators of the group modulo torsion |
j |
8855610342769/1008273 |
j-invariant |
L |
5.4469079239751 |
L(r)(E,1)/r! |
Ω |
0.94265700848824 |
Real period |
R |
0.96304167810233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dl1 399c1 76608bw1 |
Quadratic twists by: -4 8 -3 |