Atkin-Lehner |
2+ 3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042p |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2324360183292 = 22 · 36 · 72 · 23 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3312,2484] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:228:1] |
Generators of the group modulo torsion |
j |
5512402554625/3188422748 |
j-invariant |
L |
2.9069909112231 |
L(r)(E,1)/r! |
Ω |
0.69334613517598 |
Real period |
R |
0.52408724173777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338f2 |
Quadratic twists by: -3 |