Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fl |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
210866643477504 = 210 · 36 · 710 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,-1747928] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
0.36829606298981 |
L(r)(E,1)/r! |
Ω |
0.36829606299017 |
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 |
28224br1 7056u1 3136w1 28224eq1 |
Quadratic twists by: -4 8 -3 -7 |