Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cp |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
4.4316650390625E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1630359408,-25135343296812] |
[a1,a2,a3,a4,a6] |
Generators |
[-53406756:-800642766:2197] |
Generators of the group modulo torsion |
j |
7488482171405468850635689/69244766235351562500 |
j-invariant |
L |
8.7508673459148 |
L(r)(E,1)/r! |
Ω |
0.023772293855856 |
Real period |
R |
13.146858206117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450n4 19920g3 |
Quadratic twists by: -4 5 |