Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360i |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
94740840000 = 26 · 38 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1533,-17732] |
[a1,a2,a3,a4,a6] |
j |
8539701184/2030625 |
j-invariant |
L |
1.5522619225768 |
L(r)(E,1)/r! |
Ω |
0.77613096128835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27360ba1 54720ck2 9120q1 |
Quadratic twists by: -4 8 -3 |