Atkin-Lehner |
2+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52706a |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7177896 |
Modular degree for the optimal curve |
Δ |
-1.0649801783275E+22 |
Discriminant |
Eigenvalues |
2+ 3 -3 -1 0 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4578811,6236055653] |
[a1,a2,a3,a4,a6] |
Generators |
[1057523437045693516926206393511:2884768394732221368586113526396586:142065566712440044603047] |
Generators of the group modulo torsion |
j |
-625105198086633/627065225216 |
j-invariant |
L |
5.996660618628 |
L(r)(E,1)/r! |
Ω |
0.11674968229546 |
Real period |
R |
51.363399888766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52706e1 |
Quadratic twists by: -19 |