Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4896l |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3564843872256 = -1 · 212 · 311 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 2 5 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,97072] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:324:1] |
Generators of the group modulo torsion |
j |
-292754944/1193859 |
j-invariant |
L |
4.3155989458368 |
L(r)(E,1)/r! |
Ω |
0.68880728162145 |
Real period |
R |
0.7831651648045 |
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 |
4896a1 9792h1 1632d1 122400bl1 |
Quadratic twists by: -4 8 -3 5 |