Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392u |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-530183292715754496 = -1 · 210 · 312 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320272,-77958596] |
[a1,a2,a3,a4,a6] |
j |
-20994006260678308/3063651608241 |
j-invariant |
L |
0.79631774950358 |
L(r)(E,1)/r! |
Ω |
0.099539718687894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784ba1 85176t1 28392i1 |
Quadratic twists by: -4 -3 13 |