Atkin-Lehner |
2- 3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27018g |
Isogeny class |
Conductor |
27018 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-56053114815312 = -1 · 24 · 39 · 192 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 5 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43229,-3467339] |
[a1,a2,a3,a4,a6] |
Generators |
[383:-6196:1] |
Generators of the group modulo torsion |
j |
-453887862123051/2847793264 |
j-invariant |
L |
9.0721781129063 |
L(r)(E,1)/r! |
Ω |
0.16548693043284 |
Real period |
R |
1.1421065711425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27018a1 |
Quadratic twists by: -3 |