Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8772b |
Isogeny class |
Conductor |
8772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-1508784 = -1 · 24 · 3 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,60] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
131072/94299 |
j-invariant |
L |
5.3325183770341 |
L(r)(E,1)/r! |
Ω |
2.0930085681713 |
Real period |
R |
1.698517772654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35088k1 26316g1 |
Quadratic twists by: -4 -3 |