Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4664c |
Isogeny class |
Conductor |
4664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
102608 = 24 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 4 11- 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,13] |
[a1,a2,a3,a4,a6] |
j |
18966528/6413 |
j-invariant |
L |
3.0900445316629 |
L(r)(E,1)/r! |
Ω |
3.0900445316629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9328a1 37312a1 41976c1 116600d1 |
Quadratic twists by: -4 8 -3 5 |