Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
117242g |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.1248963977754E+25 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-286429914,-1858878368668] |
[a1,a2,a3,a4,a6] |
Generators |
[-115818892:930424410:12167] |
Generators of the group modulo torsion |
j |
3047089982059026337/13189215836416 |
j-invariant |
L |
14.837510035908 |
L(r)(E,1)/r! |
Ω |
0.036707775038069 |
Real period |
R |
2.8069874593675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117242k2 |
Quadratic twists by: -31 |