Atkin-Lehner |
2+ 3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27018a |
Isogeny class |
Conductor |
27018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-76890418128 = -1 · 24 · 33 · 192 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -5 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4803,130021] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:526:1] [-22:485:1] |
Generators of the group modulo torsion |
j |
-453887862123051/2847793264 |
j-invariant |
L |
4.9379860018296 |
L(r)(E,1)/r! |
Ω |
1.0933665047277 |
Real period |
R |
0.1881797328281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27018g1 |
Quadratic twists by: -3 |