Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005o |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.8072646141619E+23 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14881468,-8361376567] |
[a1,a2,a3,a4,a6] |
Generators |
[-16138:935875:8] |
Generators of the group modulo torsion |
j |
75509375904931920769/37442223509608125 |
j-invariant |
L |
8.7425553731546 |
L(r)(E,1)/r! |
Ω |
0.080890396905579 |
Real period |
R |
4.5032927831457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385e2 |
Quadratic twists by: 13 |