Atkin-Lehner |
2- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9460c |
Isogeny class |
Conductor |
9460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
22893200 = 24 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-646,6105] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:55:1] [-19:109:1] |
Generators of the group modulo torsion |
j |
1866265348864/1430825 |
j-invariant |
L |
4.176369629748 |
L(r)(E,1)/r! |
Ω |
2.1220106492534 |
Real period |
R |
0.984059535992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37840k1 85140p1 47300i1 104060d1 |
Quadratic twists by: -4 -3 5 -11 |