Atkin-Lehner |
2- 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140k |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
1688400 = 24 · 32 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-840] |
[a1,a2,a3,a4,a6] |
j |
29025255424/105525 |
j-invariant |
L |
4.0196175840849 |
L(r)(E,1)/r! |
Ω |
1.3398725280282 |
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 |
112560bg1 84420x1 |
Quadratic twists by: -4 -3 |