Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64872k |
Isogeny class |
Conductor |
64872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8911855872 = 28 · 36 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,10802] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:106:1] |
Generators of the group modulo torsion |
j |
549250000/47753 |
j-invariant |
L |
5.4561928686963 |
L(r)(E,1)/r! |
Ω |
1.269101626333 |
Real period |
R |
1.0748140172129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129744k2 7208a2 |
Quadratic twists by: -4 -3 |