Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574bs |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
178994580655968 = 25 · 36 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89867,-10386727] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:182:1] |
Generators of the group modulo torsion |
j |
512576216027/1143072 |
j-invariant |
L |
8.8438784229254 |
L(r)(E,1)/r! |
Ω |
0.27577675730552 |
Real period |
R |
1.603448838353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722ce2 5082y2 35574g2 |
Quadratic twists by: -3 -7 -11 |