Atkin-Lehner |
2- 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592bg |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
802597866830419968 = 211 · 310 · 72 · 115 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6887952,-6960144672] |
[a1,a2,a3,a4,a6] |
j |
17646726665654574967586/391893489663291 |
j-invariant |
L |
4.659588925195 |
L(r)(E,1)/r! |
Ω |
0.093191778520544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184f2 |
Quadratic twists by: -4 |