Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cq |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2539560960000000 = 219 · 32 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1367408,-615904812] |
[a1,a2,a3,a4,a6] |
Generators |
[42726:929600:27] |
Generators of the group modulo torsion |
j |
4418129129836969/39680640 |
j-invariant |
L |
6.9223356132355 |
L(r)(E,1)/r! |
Ω |
0.13961279870913 |
Real period |
R |
3.0988990964643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450o2 19920h2 |
Quadratic twists by: -4 5 |