Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bp |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
156309926844708 = 22 · 38 · 7 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36059,2574951] |
[a1,a2,a3,a4,a6] |
Generators |
[383:6504:1] |
Generators of the group modulo torsion |
j |
7112559756808297/214416909252 |
j-invariant |
L |
11.515453331843 |
L(r)(E,1)/r! |
Ω |
0.57377376535111 |
Real period |
R |
1.6724729657183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926j1 |
Quadratic twists by: -3 |