Atkin-Lehner |
2- 3- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010cc |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
deg |
4613120 |
Modular degree for the optimal curve |
Δ |
-1.65281828062E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4976282,4278449881] |
[a1,a2,a3,a4,a6] |
Generators |
[5521:378119:1] |
Generators of the group modulo torsion |
j |
-18694379382675231646809/22672404398080000 |
j-invariant |
L |
7.1251512330597 |
L(r)(E,1)/r! |
Ω |
0.21915437098168 |
Real period |
R |
0.047811793690782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890a1 |
Quadratic twists by: -3 |