Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dl |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2547020464128 = 222 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10764,422928] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:756:1] |
Generators of the group modulo torsion |
j |
721734273/13328 |
j-invariant |
L |
7.5967309515888 |
L(r)(E,1)/r! |
Ω |
0.81295633467484 |
Real period |
R |
2.3361435996867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bx1 17136z1 7616i1 |
Quadratic twists by: -4 8 -3 |