Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361z |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-81895614230750859 = -1 · 36 · 78 · 117 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,106722,-3081598] |
[a1,a2,a3,a4,a6] |
j |
884736/539 |
j-invariant |
L |
0.79330936409932 |
L(r)(E,1)/r! |
Ω |
0.19832734125801 |
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 |
5929c1 7623l1 4851m1 |
Quadratic twists by: -3 -7 -11 |