Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704d |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1098559488 = 212 · 3 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8481,-297807] |
[a1,a2,a3,a4,a6] |
j |
16472372728384/268203 |
j-invariant |
L |
1.9899581234222 |
L(r)(E,1)/r! |
Ω |
0.49748953085577 |
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 |
28704l2 57408da1 86112bq2 |
Quadratic twists by: -4 8 -3 |