Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525dh |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
86116447265625 = 35 · 59 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11138,72267] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:754:1] |
Generators of the group modulo torsion |
j |
228099131/128547 |
j-invariant |
L |
5.4675317823868 |
L(r)(E,1)/r! |
Ω |
0.52240720113026 |
Real period |
R |
1.0466034485054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525y1 84525bi1 |
Quadratic twists by: 5 -7 |