Atkin-Lehner |
3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337r |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.789395822737E+26 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-190996790,786185866046] |
[a1,a2,a3,a4,a6] |
Generators |
[4345:193582:1] |
Generators of the group modulo torsion |
j |
1056998538000979945454553625/245458960594924840566327 |
j-invariant |
L |
3.9367942359783 |
L(r)(E,1)/r! |
Ω |
0.053635943308334 |
Real period |
R |
3.6699216916494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779l2 |
Quadratic twists by: -3 |