Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932h |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
8872766174775888 = 24 · 33 · 72 · 114 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28628304,-58957837087] |
[a1,a2,a3,a4,a6] |
Generators |
[-12209756627348636:-47219637736491:3952555856731] |
Generators of the group modulo torsion |
j |
6006573920763722710646784/20538810589759 |
j-invariant |
L |
7.7725569981574 |
L(r)(E,1)/r! |
Ω |
0.065268051823539 |
Real period |
R |
19.847783565965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932n1 |
Quadratic twists by: -3 |