Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824bd |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2347095921445044224 = 223 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3784556,-2832849840] |
[a1,a2,a3,a4,a6] |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
1.2989345588253 |
L(r)(E,1)/r! |
Ω |
0.10824454656878 |
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 |
5824e4 1456i3 52416gn4 40768cl4 |
Quadratic twists by: -4 8 -3 -7 |