Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400a |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
975375000000000 = 29 · 33 · 512 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228075,41897250] |
[a1,a2,a3,a4,a6] |
Generators |
[2770:143750:1] |
Generators of the group modulo torsion |
j |
6074394750936/4515625 |
j-invariant |
L |
7.6217171360782 |
L(r)(E,1)/r! |
Ω |
0.49067361065709 |
Real period |
R |
3.8832927879337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cc2 122400ch2 24480w2 |
Quadratic twists by: -4 -3 5 |