Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361h |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-160083 = -1 · 33 · 72 · 112 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,19] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.7485789751627 |
L(r)(E,1)/r! |
Ω |
2.569531144967 |
Real period |
R |
0.92401662157065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361h2 53361b1 53361i1 |
Quadratic twists by: -3 -7 -11 |