Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bc |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1045185534885888 = -1 · 219 · 34 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58849,-5730433] |
[a1,a2,a3,a4,a6] |
j |
-85982176079353/3987066402 |
j-invariant |
L |
1.222784073987 |
L(r)(E,1)/r! |
Ω |
0.15284802657217 |
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 |
86592cj2 2706c2 |
Quadratic twists by: -4 8 |