Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27735f |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
83600 |
Modular degree for the optimal curve |
Δ |
-14671277634375 = -1 · 310 · 55 · 433 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-684,184357] |
[a1,a2,a3,a4,a6] |
j |
-444194947/184528125 |
j-invariant |
L |
2.8484046955684 |
L(r)(E,1)/r! |
Ω |
0.56968093911367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205p1 27735e1 |
Quadratic twists by: -3 -43 |