Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586ba |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-103784841216 = -1 · 216 · 35 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,76,15504] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-308:1] |
Generators of the group modulo torsion |
j |
141420761/302579712 |
j-invariant |
L |
6.0467759489049 |
L(r)(E,1)/r! |
Ω |
0.83188632941475 |
Real period |
R |
0.18171881587353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688cb1 16758m1 5586v1 106134p1 |
Quadratic twists by: -4 -3 -7 -19 |