Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
504g |
Isogeny class |
Conductor |
504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2777030065152 = 210 · 318 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3531,9686] |
[a1,a2,a3,a4,a6] |
j |
6522128932/3720087 |
j-invariant |
L |
1.3835976409306 |
L(r)(E,1)/r! |
Ω |
0.69179882046528 |
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 |
1008e3 4032o4 168b3 12600m4 |
Quadratic twists by: -4 8 -3 5 |