Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dr |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-16625664 = -1 · 212 · 32 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329,2199] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3:1] |
Generators of the group modulo torsion |
j |
-964430272/4059 |
j-invariant |
L |
10.548990184479 |
L(r)(E,1)/r! |
Ω |
2.2078721157136 |
Real period |
R |
1.1944747740723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592cb1 43296f1 |
Quadratic twists by: -4 8 |