Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360c |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4104000000 = 29 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483,-2682] |
[a1,a2,a3,a4,a6] |
j |
901428696/296875 |
j-invariant |
L |
2.0904347715216 |
L(r)(E,1)/r! |
Ω |
1.045217385761 |
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 |
27360a2 54720dc2 27360u2 |
Quadratic twists by: -4 8 -3 |