Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600ca |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38088000000000 = -1 · 212 · 32 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7792,-137088] |
[a1,a2,a3,a4,a6] |
j |
6539203/4761 |
j-invariant |
L |
1.4562781172366 |
L(r)(E,1)/r! |
Ω |
0.36406952930904 |
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 |
1725r2 110400jg2 82800ey2 27600dd2 |
Quadratic twists by: -4 8 -3 5 |