Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bn |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
460450980 = 22 · 38 · 5 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3272,72839] |
[a1,a2,a3,a4,a6] |
j |
5312655169849/631620 |
j-invariant |
L |
6.4078720735315 |
L(r)(E,1)/r! |
Ω |
1.6019680183825 |
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 |
9570k1 |
Quadratic twists by: -3 |