Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050ce |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
567 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-10864926392320000 = -1 · 221 · 54 · 73 · 11 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11187,4995217] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:979:1] |
Generators of the group modulo torsion |
j |
247732042130975/17383882227712 |
j-invariant |
L |
5.6862630700498 |
L(r)(E,1)/r! |
Ω |
0.30895446117685 |
Real period |
R |
0.29214060747295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999295 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50050c1 |
Quadratic twists by: 5 |