Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450j |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-1007562500 = -1 · 22 · 56 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,1531] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
4657463/64484 |
j-invariant |
L |
5.9013367886054 |
L(r)(E,1)/r! |
Ω |
1.1563357006287 |
Real period |
R |
2.5517402884805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
658c1 115150bt1 |
Quadratic twists by: 5 -7 |