Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ct |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2399079584160000 = 28 · 32 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84100,-9058748] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:510:1] |
Generators of the group modulo torsion |
j |
2184181167184/79655625 |
j-invariant |
L |
4.601598293332 |
L(r)(E,1)/r! |
Ω |
0.28097854751407 |
Real period |
R |
1.0235653027075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044948 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bt2 |
Quadratic twists by: -7 |