Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bw |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27892413158400 = 210 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23667,1378174] |
[a1,a2,a3,a4,a6] |
j |
1314036/25 |
j-invariant |
L |
2.6631270493012 |
L(r)(E,1)/r! |
Ω |
0.66578176232531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280v2 17640g2 88200t2 17640bp2 |
Quadratic twists by: -4 -3 5 -7 |