Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312by |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
248583168 = 210 · 38 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-3976] |
[a1,a2,a3,a4,a6] |
j |
16384000/333 |
j-invariant |
L |
2.0424705542301 |
L(r)(E,1)/r! |
Ω |
1.021235277115 |
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 |
21312s1 5328o1 7104p1 |
Quadratic twists by: -4 8 -3 |