Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cw |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2394095616 = 216 · 34 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38497,2894495] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2160:1] |
Generators of the group modulo torsion |
j |
96279920698468/36531 |
j-invariant |
L |
11.344219234465 |
L(r)(E,1)/r! |
Ω |
1.1767085803048 |
Real period |
R |
2.410159027976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592p4 21648f4 |
Quadratic twists by: -4 8 |