Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550do |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1011690162000000 = 27 · 36 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157505,-23971503] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:308:1] |
Generators of the group modulo torsion |
j |
37936442980801/88817792 |
j-invariant |
L |
10.343317738763 |
L(r)(E,1)/r! |
Ω |
0.23968302728128 |
Real period |
R |
1.5412197064918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950b2 2142k2 |
Quadratic twists by: -3 5 |