Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592b |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1787182800961536 = -1 · 226 · 310 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11+ 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30625,2907169] |
[a1,a2,a3,a4,a6] |
Generators |
[1231:42768:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
6.4954385861757 |
L(r)(E,1)/r! |
Ω |
0.43672179311172 |
Real period |
R |
3.7182931356884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592dh1 2706h1 |
Quadratic twists by: -4 8 |