Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600dk |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31000500000000 = -1 · 28 · 32 · 59 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9708,452088] |
[a1,a2,a3,a4,a6] |
Generators |
[181128:3295017:512] |
Generators of the group modulo torsion |
j |
-202389392/62001 |
j-invariant |
L |
9.1552765959599 |
L(r)(E,1)/r! |
Ω |
0.62431010948982 |
Real period |
R |
7.3323148642757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24900f2 99600cg2 |
Quadratic twists by: -4 5 |