Atkin-Lehner |
2- 3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bi |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.0827252098286E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90597344,197013415043] |
[a1,a2,a3,a4,a6] |
j |
112808695430255274122404537/42287039915344040162304 |
j-invariant |
L |
4.8215746559477 |
L(r)(E,1)/r! |
Ω |
0.060269683025493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28014h2 |
Quadratic twists by: -3 |