Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bk |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
Δ |
2.9939381926768E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-427831736,3406208626491] |
[a1,a2,a3,a4,a6] |
Generators |
[12941:185193:1] |
Generators of the group modulo torsion |
j |
2418067440128989194388361/8359273562112 |
j-invariant |
L |
6.3273843417048 |
L(r)(E,1)/r! |
Ω |
0.13942832222028 |
Real period |
R |
0.59711725568539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074d2 57222br2 |
Quadratic twists by: -3 17 |