Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337h |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1124352 |
Modular degree for the optimal curve |
Δ |
-3.9477468883141E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2147166,-1247630121] |
[a1,a2,a3,a4,a6] |
Generators |
[8345610:463939299:2197] |
Generators of the group modulo torsion |
j |
-1501734514396884689377/54152906561235783 |
j-invariant |
L |
7.3994039001117 |
L(r)(E,1)/r! |
Ω |
0.062227770245252 |
Real period |
R |
9.9090324021786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779i1 |
Quadratic twists by: -3 |