Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550df |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2987085937500 = 22 · 33 · 59 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8930,316197] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:765:1] |
Generators of the group modulo torsion |
j |
1493271207/56644 |
j-invariant |
L |
9.0313992825825 |
L(r)(E,1)/r! |
Ω |
0.79528434879133 |
Real period |
R |
1.4195236106765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550q2 53550l2 |
Quadratic twists by: -3 5 |