Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405d |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.1782687925341E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1616988,-1658598381] |
[a1,a2,a3,a4,a6] |
Generators |
[5705518:172863923:2744] |
Generators of the group modulo torsion |
j |
-59501707264/116800875 |
j-invariant |
L |
2.7364334216379 |
L(r)(E,1)/r! |
Ω |
0.062943470295189 |
Real period |
R |
5.4343075780415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33135j2 2115k2 |
Quadratic twists by: -3 -47 |