Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570o |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
314416449901687500 = 22 · 311 · 56 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-729000999,7576188058305] |
[a1,a2,a3,a4,a6] |
j |
58773364740520165234358226289/431298285187500 |
j-invariant |
L |
1.8059763323039 |
L(r)(E,1)/r! |
Ω |
0.15049802769199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52560bp4 2190o3 32850bq4 |
Quadratic twists by: -4 -3 5 |