Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150z |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2558051341055E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-690535026,-6930255277052] |
[a1,a2,a3,a4,a6] |
j |
3918075806073018169/35030827008000 |
j-invariant |
L |
2.1216319905772 |
L(r)(E,1)/r! |
Ω |
0.029467102489362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230o3 4350s3 |
Quadratic twists by: 5 29 |