Atkin-Lehner |
2- 3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bj |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6083794131914E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44035574,-112461714367] |
[a1,a2,a3,a4,a6] |
j |
12954097446507563627730457/220628177392504644 |
j-invariant |
L |
5.860694428766 |
L(r)(E,1)/r! |
Ω |
0.058606945039689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28014i2 |
Quadratic twists by: -3 |