Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592be |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-79520035516416 = -1 · 212 · 316 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3783,-418329] |
[a1,a2,a3,a4,a6] |
Generators |
[66:351:1] [93:864:1] |
Generators of the group modulo torsion |
j |
1461362576192/19414071171 |
j-invariant |
L |
11.150751864821 |
L(r)(E,1)/r! |
Ω |
0.2989509774839 |
Real period |
R |
1.1656124984673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592r1 43296i1 |
Quadratic twists by: -4 8 |