Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4836b |
Isogeny class |
Conductor |
4836 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-122523948144 = -1 · 24 · 32 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 -5 -4 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,474,16209] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:39:1] [-12:93:1] |
Generators of the group modulo torsion |
j |
734551414016/7657746759 |
j-invariant |
L |
3.6882484576259 |
L(r)(E,1)/r! |
Ω |
0.76950204483689 |
Real period |
R |
0.066569898502919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19344r1 77376q1 14508j1 120900v1 |
Quadratic twists by: -4 8 -3 5 |