Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360g |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2188892367360 = -1 · 29 · 38 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3237,6482] |
[a1,a2,a3,a4,a6] |
j |
10049728312/5864445 |
j-invariant |
L |
1.988955804787 |
L(r)(E,1)/r! |
Ω |
0.49723895119681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360x2 54720cd3 9120n4 |
Quadratic twists by: -4 8 -3 |