Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361p |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
96107885636301 = 39 · 79 · 112 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 11- 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14553,483887] |
[a1,a2,a3,a4,a6] |
Generators |
[18312:48695:512] |
Generators of the group modulo torsion |
j |
1216512/343 |
j-invariant |
L |
11.631129726138 |
L(r)(E,1)/r! |
Ω |
0.55899418970267 |
Real period |
R |
5.2018115484848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361q1 7623c1 53361r1 |
Quadratic twists by: -3 -7 -11 |