Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576m |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71722741469184 = -1 · 212 · 36 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58764,-5498080] |
[a1,a2,a3,a4,a6] |
Generators |
[8218:744660:1] |
Generators of the group modulo torsion |
j |
-7515714705472/24019801 |
j-invariant |
L |
8.2399833193058 |
L(r)(E,1)/r! |
Ω |
0.15328815980243 |
Real period |
R |
6.7193572808857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576bm2 12064d2 |
Quadratic twists by: -4 -3 |