Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150a |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
163872001562500 = 22 · 58 · 74 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18667,-759759] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:423:1] |
Generators of the group modulo torsion |
j |
46040534328321/10487808100 |
j-invariant |
L |
3.4153932118926 |
L(r)(E,1)/r! |
Ω |
0.41512050059541 |
Real period |
R |
2.0568685514823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000261 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14630x2 |
Quadratic twists by: 5 |