Atkin-Lehner |
2- 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232p |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4204032 |
Modular degree for the optimal curve |
Δ |
-5.598320892003E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-766337,11386977333] |
[a1,a2,a3,a4,a6] |
Generators |
[2721500729:313352559494:205379] |
Generators of the group modulo torsion |
j |
-194421234790866715648/218684409843866928507 |
j-invariant |
L |
5.6828241840113 |
L(r)(E,1)/r! |
Ω |
0.090066798684482 |
Real period |
R |
15.773915213407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464t1 |
Quadratic twists by: -4 |