Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bj |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
634752 |
Modular degree for the optimal curve |
Δ |
-188111553529363200 = -1 · 28 · 319 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110419,15325425] |
[a1,a2,a3,a4,a6] |
j |
581582383072403456/734810755974075 |
j-invariant |
L |
2.57113692684 |
L(r)(E,1)/r! |
Ω |
0.21426141056854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12540i1 |
Quadratic twists by: -4 |