Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592h |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
119970791424 = 216 · 32 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,27489] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:231:1] [-8:205:1] |
Generators of the group modulo torsion |
j |
11380714852/1830609 |
j-invariant |
L |
8.205324371807 |
L(r)(E,1)/r! |
Ω |
1.0020265712702 |
Real period |
R |
4.0943646640225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592do2 10824l2 |
Quadratic twists by: -4 8 |