Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304p |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248256 |
Modular degree for the optimal curve |
Δ |
6869626252715328768 = 28 · 329 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 0 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-985908,-355064740] |
[a1,a2,a3,a4,a6] |
Generators |
[-2310622285579933885:4963785998243827635:3413145314503547] |
Generators of the group modulo torsion |
j |
567891528853175296/36809982921357 |
j-invariant |
L |
8.8862336030946 |
L(r)(E,1)/r! |
Ω |
0.15212598261194 |
Real period |
R |
29.206824010342 |
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 |
28152k1 18768a1 |
Quadratic twists by: -4 -3 |