Atkin-Lehner |
3- 5+ 29- 89- |
Signs for the Atkin-Lehner involutions |
Class |
116145j |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
497412643867875 = 37 · 53 · 29 · 894 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-523485,-145647450] |
[a1,a2,a3,a4,a6] |
j |
21762529662706122961/682321870875 |
j-invariant |
L |
0.70996106792661 |
L(r)(E,1)/r! |
Ω |
0.17749015649375 |
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 |
38715b4 |
Quadratic twists by: -3 |