Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2028f |
Isogeny class |
Conductor |
2028 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
1527047909712 = 24 · 32 · 139 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-14728] |
[a1,a2,a3,a4,a6] |
j |
16384/9 |
j-invariant |
L |
2.0814508259696 |
L(r)(E,1)/r! |
Ω |
0.69381694198988 |
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 |
8112z1 32448q1 6084o1 50700i1 |
Quadratic twists by: -4 8 -3 5 |