Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bd |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
13109817600000000 = 214 · 34 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-676136,214147440] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:16250:1] |
Generators of the group modulo torsion |
j |
8345773355774021929/3200639062500 |
j-invariant |
L |
5.1033093843387 |
L(r)(E,1)/r! |
Ω |
0.39147887200881 |
Real period |
R |
3.258994130485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270i1 |
Quadratic twists by: -4 |