Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bc |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.8009477367083E+19 |
Discriminant |
Eigenvalues |
2- 2 0 4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1911233,-983965087] |
[a1,a2,a3,a4,a6] |
Generators |
[706139042596590083813263862628517399279944197393979:-139330473130170411748041762005733062675391189184953328:18113965544741568144432555514208658262767285597] |
Generators of the group modulo torsion |
j |
2945268712058640625/106847676723797 |
j-invariant |
L |
10.411724748747 |
L(r)(E,1)/r! |
Ω |
0.12868826021901 |
Real period |
R |
80.906562346981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664h2 14416d2 |
Quadratic twists by: -4 8 |