Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fx |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3112280998848 = 26 · 310 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,128968] |
[a1,a2,a3,a4,a6] |
j |
3241792/567 |
j-invariant |
L |
1.5227957935887 |
L(r)(E,1)/r! |
Ω |
0.76139789679472 |
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 |
28224fu1 14112z3 9408da1 4032be1 |
Quadratic twists by: -4 8 -3 -7 |