Atkin-Lehner |
2+ 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672s |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3052216375842816 = 211 · 32 · 7 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87472,-9625420] |
[a1,a2,a3,a4,a6] |
j |
36141476786531426/1490340027267 |
j-invariant |
L |
4.4530290981093 |
L(r)(E,1)/r! |
Ω |
0.27831435069455 |
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 |
63336j3 |
Quadratic twists by: -4 |