Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704l |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2095449408 = 26 · 32 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 0 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-546,4212] |
[a1,a2,a3,a4,a6] |
j |
281784327616/32741397 |
j-invariant |
L |
5.6796519059902 |
L(r)(E,1)/r! |
Ω |
1.4199129764977 |
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 |
28704d1 57408ck2 86112bj1 |
Quadratic twists by: -4 8 -3 |