Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bn |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10948608 |
Modular degree for the optimal curve |
Δ |
-1.5767869541699E+24 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 11- 5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171823532,-868965797752] |
[a1,a2,a3,a4,a6] |
j |
-30515071121161/85766121 |
j-invariant |
L |
2.2513838486198 |
L(r)(E,1)/r! |
Ω |
0.020846146741327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787n1 7623h1 53361bi1 |
Quadratic twists by: -3 -7 -11 |