Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9384d |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
78016 |
Modular degree for the optimal curve |
Δ |
9423355627867392 = 28 · 323 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109545,-13187061] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:486:1] |
Generators of the group modulo torsion |
j |
567891528853175296/36809982921357 |
j-invariant |
L |
3.7789315738038 |
L(r)(E,1)/r! |
Ω |
0.26348993103523 |
Real period |
R |
0.31177922459608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18768a1 75072g1 28152k1 |
Quadratic twists by: -4 8 -3 |