Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222d |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
428706517785728 = 27 · 74 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118304,15620334] |
[a1,a2,a3,a4,a6] |
Generators |
[312:2861:1] |
Generators of the group modulo torsion |
j |
37936442980801/88817792 |
j-invariant |
L |
4.3262023436127 |
L(r)(E,1)/r! |
Ω |
0.53117783704619 |
Real period |
R |
4.072273014696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238a2 |
Quadratic twists by: 13 |