Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864c |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-643534848 = -1 · 212 · 33 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,-1184] |
[a1,a2,a3,a4,a6] |
j |
592704/5819 |
j-invariant |
L |
3.1993395965986 |
L(r)(E,1)/r! |
Ω |
0.7998348982278 |
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 |
72864t2 72864s2 |
Quadratic twists by: -4 -3 |