Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bq |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-265080401473536 = -1 · 212 · 34 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85977,9706311] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:96:1] [153:-396:1] |
Generators of the group modulo torsion |
j |
-17159936522661568/64716894891 |
j-invariant |
L |
11.078483752632 |
L(r)(E,1)/r! |
Ω |
0.55413829412946 |
Real period |
R |
0.35700486523269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592j1 43296e1 |
Quadratic twists by: -4 8 |