Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960d |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
155695656860656640 = 210 · 5 · 712 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134603,-941878] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:3822:1] |
Generators of the group modulo torsion |
j |
2238719766084/1292374265 |
j-invariant |
L |
5.5260458424132 |
L(r)(E,1)/r! |
Ω |
0.27203990274928 |
Real period |
R |
1.6927804176831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480b1 7280f1 |
Quadratic twists by: -4 -7 |