Atkin-Lehner |
2- 5- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050q |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
98784 |
Modular degree for the optimal curve |
Δ |
-5931345520000 = -1 · 27 · 54 · 192 · 593 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -4 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8305,-311903] |
[a1,a2,a3,a4,a6] |
Generators |
[799:22020:1] |
Generators of the group modulo torsion |
j |
-101347625840625/9490152832 |
j-invariant |
L |
9.2733034774642 |
L(r)(E,1)/r! |
Ω |
0.24873200442035 |
Real period |
R |
0.29589134224012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56050e1 |
Quadratic twists by: 5 |