Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bi |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-1740000000000000 = -1 · 214 · 3 · 513 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 5 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25541,2540259] |
[a1,a2,a3,a4,a6] |
j |
-112469423174656/106201171875 |
j-invariant |
L |
3.8720105574968 |
L(r)(E,1)/r! |
Ω |
0.4302233952775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840ch1 3480b1 83520cx1 |
Quadratic twists by: -4 8 -3 |