Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960du |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
99145635876000000 = 28 · 36 · 56 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225220,38173568] |
[a1,a2,a3,a4,a6] |
Generators |
[506:-7350:1] [-502:4998:1] |
Generators of the group modulo torsion |
j |
41948679809104/3291890625 |
j-invariant |
L |
13.828231734337 |
L(r)(E,1)/r! |
Ω |
0.32918768516149 |
Real period |
R |
0.58343243913001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2040j2 |
Quadratic twists by: -7 |