Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27144c |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-48227360643072 = -1 · 211 · 37 · 135 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11379,574382] |
[a1,a2,a3,a4,a6] |
j |
-109138636514/32302491 |
j-invariant |
L |
2.4094908349421 |
L(r)(E,1)/r! |
Ω |
0.60237270873548 |
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 |
54288e1 9048k1 |
Quadratic twists by: -4 -3 |