Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bh |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-102295719668736 = -1 · 210 · 32 · 115 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11165,-669309] |
[a1,a2,a3,a4,a6] |
Generators |
[1459:55596:1] |
Generators of the group modulo torsion |
j |
-150327638431744/99898163739 |
j-invariant |
L |
9.7736399585689 |
L(r)(E,1)/r! |
Ω |
0.22551947950885 |
Real period |
R |
3.6115283603931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592cm1 10824d1 |
Quadratic twists by: -4 8 |