Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200v |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-17200 = -1 · 24 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 3 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,35] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
-2211840/43 |
j-invariant |
L |
4.7573538745179 |
L(r)(E,1)/r! |
Ω |
3.8984184414699 |
Real period |
R |
1.2203292042514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4300a1 68800ct1 17200ba1 |
Quadratic twists by: -4 8 5 |