Atkin-Lehner |
2+ 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9570j |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4590432 |
Modular degree for the optimal curve |
Δ |
-1.640129825222E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-280704859,1912156022246] |
[a1,a2,a3,a4,a6] |
j |
-2446096019492848437542909948329/164012982522200064000000000 |
j-invariant |
L |
1.242473151976 |
L(r)(E,1)/r! |
Ω |
0.056476052362544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560ba1 28710bm1 47850cd1 105270bu1 |
Quadratic twists by: -4 -3 5 -11 |