Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570x |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6070064062500 = -1 · 22 · 36 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8363,-315233] |
[a1,a2,a3,a4,a6] |
j |
-88722503613801/8326562500 |
j-invariant |
L |
3.9727488706586 |
L(r)(E,1)/r! |
Ω |
0.24829680441617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560ba2 730f2 32850m2 |
Quadratic twists by: -4 -3 5 |