Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fg |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-65548320768 = -1 · 218 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1260,-21168] |
[a1,a2,a3,a4,a6] |
j |
-3375 |
j-invariant |
L |
1.5785423975038 |
L(r)(E,1)/r! |
Ω |
0.39463559937592 |
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 |
28224bn1 7056bq1 3136r1 28224fg3 |
Quadratic twists by: -4 8 -3 -7 |