Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360q |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
90951206400 = 29 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103923,-12894822] |
[a1,a2,a3,a4,a6] |
j |
12316788514584/9025 |
j-invariant |
L |
0.53180406249795 |
L(r)(E,1)/r! |
Ω |
0.2659020312492 |
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 |
27360b2 54720l2 27360e2 |
Quadratic twists by: -4 8 -3 |