Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570b |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-3.1388663808E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3660390,-14382284] |
[a1,a2,a3,a4,a6] |
j |
7440090147724218899039/4305715200000000000 |
j-invariant |
L |
1.5249683338754 |
L(r)(E,1)/r! |
Ω |
0.084720462993079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52560r1 2190k1 32850bw1 |
Quadratic twists by: -4 -3 5 |