Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360p |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-3119040 = -1 · 26 · 33 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,-112] |
[a1,a2,a3,a4,a6] |
j |
-2299968/1805 |
j-invariant |
L |
1.9268915844172 |
L(r)(E,1)/r! |
Ω |
0.96344579220865 |
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 |
27360r1 54720df1 27360d1 |
Quadratic twists by: -4 8 -3 |