Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361b |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-18833604867 = -1 · 33 · 78 · 112 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-6603] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.121435332463 |
L(r)(E,1)/r! |
Ω |
0.56071766535037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361b2 53361h1 53361a1 |
Quadratic twists by: -3 -7 -11 |