Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575o |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
679371046875 = 39 · 56 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32180,2229572] |
[a1,a2,a3,a4,a6] |
Generators |
[84:295:1] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
1.9049970093151 |
L(r)(E,1)/r! |
Ω |
0.87970558463946 |
Real period |
R |
0.54137345567035 |
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 |
3525j2 423b2 |
Quadratic twists by: -3 5 |