Atkin-Lehner |
2+ 3- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518k |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.8722549764758E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-502946298,-4341205042970] |
[a1,a2,a3,a4,a6] |
Generators |
[54437:11356787:1] |
Generators of the group modulo torsion |
j |
19300165438728063557966834593/393999310902029941206 |
j-invariant |
L |
4.3663635455826 |
L(r)(E,1)/r! |
Ω |
0.03188010056073 |
Real period |
R |
8.5601273257416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506t2 |
Quadratic twists by: -3 |