Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gd |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
275417656786944 = 216 · 36 · 78 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33516,-2222640] |
[a1,a2,a3,a4,a6] |
j |
740772/49 |
j-invariant |
L |
1.4172524804416 |
L(r)(E,1)/r! |
Ω |
0.35431312011021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28224ck2 7056x2 3136s2 4032bj2 |
Quadratic twists by: -4 8 -3 -7 |