Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160b |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-759021469354368000 = -1 · 210 · 310 · 53 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,207384,20802816] |
[a1,a2,a3,a4,a6] |
Generators |
[4278:281394:1] |
Generators of the group modulo torsion |
j |
963268596008435804/741231903666375 |
j-invariant |
L |
3.6266699903775 |
L(r)(E,1)/r! |
Ω |
0.18220422404349 |
Real period |
R |
4.9761058085117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080r1 |
Quadratic twists by: -4 |