Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ch |
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 |
0.18178902933129 |
L(r)(E,1)/r! |
Ω |
0.18178902933044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840bi1 6960s1 83520gh1 |
Quadratic twists by: -4 8 -3 |