Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160ce |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-2.628079432833E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23057240,42678300180] |
[a1,a2,a3,a4,a6] |
Generators |
[2668:12654:1] |
Generators of the group modulo torsion |
j |
-330967800143807423238361/641620955281489920 |
j-invariant |
L |
6.8967272630766 |
L(r)(E,1)/r! |
Ω |
0.14423060021855 |
Real period |
R |
3.9847804214027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270e1 |
Quadratic twists by: -4 |