Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bf |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-7768780800 = -1 · 212 · 3 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,3981] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:55:1] |
Generators of the group modulo torsion |
j |
282300416/1896675 |
j-invariant |
L |
4.6684450996551 |
L(r)(E,1)/r! |
Ω |
0.95604517091257 |
Real period |
R |
0.81384667476751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3135c1 |
Quadratic twists by: -4 |