Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368j |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
311122944 = 210 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80024,8686596] |
[a1,a2,a3,a4,a6] |
j |
55346472949076068/303831 |
j-invariant |
L |
1.1713479149506 |
L(r)(E,1)/r! |
Ω |
1.1713479149506 |
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 |
8184d3 65472bt4 49104u4 |
Quadratic twists by: -4 8 -3 |