Atkin-Lehner |
2+ 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144c |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9013204619675648 = 211 · 72 · 176 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147299,-21274622] |
[a1,a2,a3,a4,a6] |
Generators |
[2781:145180:1] |
Generators of the group modulo torsion |
j |
172581069180882546/4400978818201 |
j-invariant |
L |
8.2274462572774 |
L(r)(E,1)/r! |
Ω |
0.24407600957341 |
Real period |
R |
1.4045225574024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58072c2 |
Quadratic twists by: -4 |