Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cj |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3175891416000000000 = 212 · 314 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-794208,258846912] |
[a1,a2,a3,a4,a6] |
Generators |
[706:7038:1] |
Generators of the group modulo torsion |
j |
6925275323981/396986427 |
j-invariant |
L |
2.8954140227742 |
L(r)(E,1)/r! |
Ω |
0.24835028465393 |
Real period |
R |
5.8292947328188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225j2 99600do2 |
Quadratic twists by: -4 5 |