Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bx |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
104661487457931789 = 311 · 79 · 114 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11- 4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-124509,-6609353] |
[a1,a2,a3,a4,a6] |
j |
495616/243 |
j-invariant |
L |
4.2741329767718 |
L(r)(E,1)/r! |
Ω |
0.26713331099541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787l1 53361bv1 53361cf1 |
Quadratic twists by: -3 -7 -11 |