Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361q |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
131835234069 = 33 · 79 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 11- 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1617,-17922] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:73:1] |
Generators of the group modulo torsion |
j |
1216512/343 |
j-invariant |
L |
3.5624921428867 |
L(r)(E,1)/r! |
Ω |
0.76896633743712 |
Real period |
R |
1.1582080936341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361p1 7623d1 53361o1 |
Quadratic twists by: -3 -7 -11 |