Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328u |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
13651968 = 212 · 3 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 11+ 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,2307] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:405:8] |
Generators of the group modulo torsion |
j |
1073741824/3333 |
j-invariant |
L |
9.3910266274993 |
L(r)(E,1)/r! |
Ω |
2.2420305197467 |
Real period |
R |
4.1886256876722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333c1 |
Quadratic twists by: -4 |