Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400by |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5617597090500000000 = 28 · 318 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447375,16168750] |
[a1,a2,a3,a4,a6] |
Generators |
[-29925:2533000:343] |
Generators of the group modulo torsion |
j |
27166976912/15411789 |
j-invariant |
L |
6.0978804206786 |
L(r)(E,1)/r! |
Ω |
0.20683223565491 |
Real period |
R |
7.3705633895932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200ci2 34800bq2 104400cb2 |
Quadratic twists by: -4 -3 5 |