Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094bj |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3216469352257E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209583155,-1166475216761] |
[a1,a2,a3,a4,a6] |
Generators |
[544549762895909546924289:-269826775628226690401402012:2214502282385279307] |
Generators of the group modulo torsion |
j |
29197483936393921875/37902516876004 |
j-invariant |
L |
9.6483745301118 |
L(r)(E,1)/r! |
Ω |
0.0396820697193 |
Real period |
R |
30.392739713378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50094e2 4554c2 |
Quadratic twists by: -3 -11 |