Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960du |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.350022275E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,224600,172040000] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:5880:1] [-25:12900:1] |
Generators of the group modulo torsion |
j |
10400706415004/112060546875 |
j-invariant |
L |
13.828231734337 |
L(r)(E,1)/r! |
Ω |
0.16459384258074 |
Real period |
R |
2.33372975652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2040j4 |
Quadratic twists by: -7 |